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Finding the Fourth Proportional to 103,319.20, 154,978.80 and 102,541.60

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Solution

The fourth proportional to 103,319.20, 154,978.80 and 102,541.60 is: 153,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,319.20 : 154,978.80 = 102,541.60 : x
  2. Step 2: Convert to fraction form
    103,319.20/154,978.80 = 102,541.60/x
  3. Step 3: Cross multiply
    103,319.20x = 154,978.80 × 102,541.60
  4. Step 4: Simplify right side
    103,319.20x = 15,891,774,118.08
  5. Step 5: Solve for x
    x = 15,891,774,118.08/103,319.20
  6. Step 6: Final answer
    x = 153,812.40

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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.