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Finding the Fourth Proportional to 98,456.28, 135,867.88 and 56,013.88

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Solution

The fourth proportional to 98,456.28, 135,867.88 and 56,013.88 is: 77,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,456.28 : 135,867.88 = 56,013.88 : x
  2. Step 2: Convert to fraction form
    98,456.28/135,867.88 = 56,013.88/x
  3. Step 3: Cross multiply
    98,456.28x = 135,867.88 × 56,013.88
  4. Step 4: Simplify right side
    98,456.28x = 7,610,487,126.17
  5. Step 5: Solve for x
    x = 7,610,487,126.17/98,456.28
  6. Step 6: Final answer
    x = 77,298.14

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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.