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Finding the Fourth Proportional to 74,129.58, 102,294.90 and 42,301.44

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Solution

The fourth proportional to 74,129.58, 102,294.90 and 42,301.44 is: 58,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,129.58 : 102,294.90 = 42,301.44 : x
  2. Step 2: Convert to fraction form
    74,129.58/102,294.90 = 42,301.44/x
  3. Step 3: Cross multiply
    74,129.58x = 102,294.90 × 42,301.44
  4. Step 4: Simplify right side
    74,129.58x = 4,327,221,574.66
  5. Step 5: Solve for x
    x = 4,327,221,574.66/74,129.58
  6. Step 6: Final answer
    x = 58,373.75

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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.