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Finding the Fourth Proportional to 75,158.29, 103,692.70 and 42,869.71

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Solution

The fourth proportional to 75,158.29, 103,692.70 and 42,869.71 is: 59,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,158.29 : 103,692.70 = 42,869.71 : x
  2. Step 2: Convert to fraction form
    75,158.29/103,692.70 = 42,869.71/x
  3. Step 3: Cross multiply
    75,158.29x = 103,692.70 × 42,869.71
  4. Step 4: Simplify right side
    75,158.29x = 4,445,275,978.12
  5. Step 5: Solve for x
    x = 4,445,275,978.12/75,158.29
  6. Step 6: Final answer
    x = 59,145.52

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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.