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Finding the Fourth Proportional to 141,340, 195,049.20 and 77,681.90

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Solution

The fourth proportional to 141,340, 195,049.20 and 77,681.90 is: 107,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,340 : 195,049.20 = 77,681.90 : x
  2. Step 2: Convert to fraction form
    141,340/195,049.20 = 77,681.90/x
  3. Step 3: Cross multiply
    141,340x = 195,049.20 × 77,681.90
  4. Step 4: Simplify right side
    141,340x = 15,151,792,449.48
  5. Step 5: Solve for x
    x = 15,151,792,449.48/141,340
  6. Step 6: Final answer
    x = 107,201.02

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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.