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Finding the Fourth Proportional to 137,665.33, 206,497.50 and 77,666.59

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Solution

The fourth proportional to 137,665.33, 206,497.50 and 77,666.59 is: 116,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,665.33 : 206,497.50 = 77,666.59 : x
  2. Step 2: Convert to fraction form
    137,665.33/206,497.50 = 77,666.59/x
  3. Step 3: Cross multiply
    137,665.33x = 206,497.50 × 77,666.59
  4. Step 4: Simplify right side
    137,665.33x = 16,037,956,668.53
  5. Step 5: Solve for x
    x = 16,037,956,668.53/137,665.33
  6. Step 6: Final answer
    x = 116,499.61

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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.