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Finding the Fourth Proportional to 88,142, 121,635.96 and 48,398

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Solution

The fourth proportional to 88,142, 121,635.96 and 48,398 is: 66,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,142 : 121,635.96 = 48,398 : x
  2. Step 2: Convert to fraction form
    88,142/121,635.96 = 48,398/x
  3. Step 3: Cross multiply
    88,142x = 121,635.96 × 48,398
  4. Step 4: Simplify right side
    88,142x = 5,886,937,192.08
  5. Step 5: Solve for x
    x = 5,886,937,192.08/88,142
  6. Step 6: Final answer
    x = 66,789.24

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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.