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Finding the Fourth Proportional to 102,397.98, 141,192.15 and 83,225.28

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Solution

The fourth proportional to 102,397.98, 141,192.15 and 83,225.28 is: 114,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,397.98 : 141,192.15 = 83,225.28 : x
  2. Step 2: Convert to fraction form
    102,397.98/141,192.15 = 83,225.28/x
  3. Step 3: Cross multiply
    102,397.98x = 141,192.15 × 83,225.28
  4. Step 4: Simplify right side
    102,397.98x = 11,750,756,217.55
  5. Step 5: Solve for x
    x = 11,750,756,217.55/102,397.98
  6. Step 6: Final answer
    x = 114,755.74

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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.