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Finding the Fourth Proportional to 135,505.76, 186,979.28 and 75,061.44

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Solution

The fourth proportional to 135,505.76, 186,979.28 and 75,061.44 is: 103,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,505.76 : 186,979.28 = 75,061.44 : x
  2. Step 2: Convert to fraction form
    135,505.76/186,979.28 = 75,061.44/x
  3. Step 3: Cross multiply
    135,505.76x = 186,979.28 × 75,061.44
  4. Step 4: Simplify right side
    135,505.76x = 14,034,934,006.96
  5. Step 5: Solve for x
    x = 14,034,934,006.96/135,505.76
  6. Step 6: Final answer
    x = 103,574.45

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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.