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Finding the Fourth Proportional to 98,154.64, 135,458.82 and 57,892

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Solution

The fourth proportional to 98,154.64, 135,458.82 and 57,892 is: 79,894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,154.64 : 135,458.82 = 57,892 : x
  2. Step 2: Convert to fraction form
    98,154.64/135,458.82 = 57,892/x
  3. Step 3: Cross multiply
    98,154.64x = 135,458.82 × 57,892
  4. Step 4: Simplify right side
    98,154.64x = 7,841,982,007.44
  5. Step 5: Solve for x
    x = 7,841,982,007.44/98,154.64
  6. Step 6: Final answer
    x = 79,894.15

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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.