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Finding the Fourth Proportional to 136,680.80, 205,021.20 and 74,319.20

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Solution

The fourth proportional to 136,680.80, 205,021.20 and 74,319.20 is: 111,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,680.80 : 205,021.20 = 74,319.20 : x
  2. Step 2: Convert to fraction form
    136,680.80/205,021.20 = 74,319.20/x
  3. Step 3: Cross multiply
    136,680.80x = 205,021.20 × 74,319.20
  4. Step 4: Simplify right side
    136,680.80x = 15,237,011,567.04
  5. Step 5: Solve for x
    x = 15,237,011,567.04/136,680.80
  6. Step 6: Final answer
    x = 111,478.80

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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.