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Finding the Fourth Proportional to 134,680, 185,864.16 and 75,064

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Solution

The fourth proportional to 134,680, 185,864.16 and 75,064 is: 103,591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,680 : 185,864.16 = 75,064 : x
  2. Step 2: Convert to fraction form
    134,680/185,864.16 = 75,064/x
  3. Step 3: Cross multiply
    134,680x = 185,864.16 × 75,064
  4. Step 4: Simplify right side
    134,680x = 13,951,707,306.24
  5. Step 5: Solve for x
    x = 13,951,707,306.24/134,680
  6. Step 6: Final answer
    x = 103,591.53

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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.