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Finding the Fourth Proportional to 109,502.75, 151,118.92 and 61,755.08

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Solution

The fourth proportional to 109,502.75, 151,118.92 and 61,755.08 is: 85,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,502.75 : 151,118.92 = 61,755.08 : x
  2. Step 2: Convert to fraction form
    109,502.75/151,118.92 = 61,755.08/x
  3. Step 3: Cross multiply
    109,502.75x = 151,118.92 × 61,755.08
  4. Step 4: Simplify right side
    109,502.75x = 9,332,359,968.34
  5. Step 5: Solve for x
    x = 9,332,359,968.34/109,502.75
  6. Step 6: Final answer
    x = 85,224.89

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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.