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Finding the Fourth Proportional to 100,761.78, 139,071.14 and 57,770.15

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Solution

The fourth proportional to 100,761.78, 139,071.14 and 57,770.15 is: 79,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,761.78 : 139,071.14 = 57,770.15 : x
  2. Step 2: Convert to fraction form
    100,761.78/139,071.14 = 57,770.15/x
  3. Step 3: Cross multiply
    100,761.78x = 139,071.14 × 57,770.15
  4. Step 4: Simplify right side
    100,761.78x = 8,034,160,618.47
  5. Step 5: Solve for x
    x = 8,034,160,618.47/100,761.78
  6. Step 6: Final answer
    x = 79,734.21

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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.