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Finding the Fourth Proportional to 115,542, 159,420.60 and 67,115.13

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Solution

The fourth proportional to 115,542, 159,420.60 and 67,115.13 is: 92,602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,542 : 159,420.60 = 67,115.13 : x
  2. Step 2: Convert to fraction form
    115,542/159,420.60 = 67,115.13/x
  3. Step 3: Cross multiply
    115,542x = 159,420.60 × 67,115.13
  4. Step 4: Simplify right side
    115,542x = 10,699,534,293.68
  5. Step 5: Solve for x
    x = 10,699,534,293.68/115,542
  6. Step 6: Final answer
    x = 92,602.99

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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.