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Finding the Fourth Proportional to 98,329.86, 135,695.22 and 55,891.14

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Solution

The fourth proportional to 98,329.86, 135,695.22 and 55,891.14 is: 77,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,329.86 : 135,695.22 = 55,891.14 : x
  2. Step 2: Convert to fraction form
    98,329.86/135,695.22 = 55,891.14/x
  3. Step 3: Cross multiply
    98,329.86x = 135,695.22 × 55,891.14
  4. Step 4: Simplify right side
    98,329.86x = 7,584,160,538.35
  5. Step 5: Solve for x
    x = 7,584,160,538.35/98,329.86
  6. Step 6: Final answer
    x = 77,129.78

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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.