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Finding the Fourth Proportional to 155,521,319.20, 233,281,978.80 and 97,826,509.60

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Solution

The fourth proportional to 155,521,319.20, 233,281,978.80 and 97,826,509.60 is: 146,739,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,521,319.20 : 233,281,978.80 = 97,826,509.60 : x
  2. Step 2: Convert to fraction form
    155,521,319.20/233,281,978.80 = 97,826,509.60/x
  3. Step 3: Cross multiply
    155,521,319.20x = 233,281,978.80 × 97,826,509.60
  4. Step 4: Simplify right side
    155,521,319.20x = 22,821,161,738,585,196
  5. Step 5: Solve for x
    x = 22,821,161,738,585,196/155,521,319.20
  6. Step 6: Final answer
    x = 146,739,764.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.