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Finding the Fourth Proportional to 137,400.29, 206,098.80 and 77,433.29

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Solution

The fourth proportional to 137,400.29, 206,098.80 and 77,433.29 is: 116,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,400.29 : 206,098.80 = 77,433.29 : x
  2. Step 2: Convert to fraction form
    137,400.29/206,098.80 = 77,433.29/x
  3. Step 3: Cross multiply
    137,400.29x = 206,098.80 × 77,433.29
  4. Step 4: Simplify right side
    137,400.29x = 15,958,908,149.05
  5. Step 5: Solve for x
    x = 15,958,908,149.05/137,400.29
  6. Step 6: Final answer
    x = 116,149.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.