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Finding the Fourth Proportional to 103,512.24, 142,801.92 and 65,766.24

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Solution

The fourth proportional to 103,512.24, 142,801.92 and 65,766.24 is: 90,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,512.24 : 142,801.92 = 65,766.24 : x
  2. Step 2: Convert to fraction form
    103,512.24/142,801.92 = 65,766.24/x
  3. Step 3: Cross multiply
    103,512.24x = 142,801.92 × 65,766.24
  4. Step 4: Simplify right side
    103,512.24x = 9,391,545,343.18
  5. Step 5: Solve for x
    x = 9,391,545,343.18/103,512.24
  6. Step 6: Final answer
    x = 90,728.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.