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Finding the Fourth Proportional to 139,614.78, 209,387.56 and 39,775.83

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Solution

The fourth proportional to 139,614.78, 209,387.56 and 39,775.83 is: 59,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,614.78 : 209,387.56 = 39,775.83 : x
  2. Step 2: Convert to fraction form
    139,614.78/209,387.56 = 39,775.83/x
  3. Step 3: Cross multiply
    139,614.78x = 209,387.56 × 39,775.83
  4. Step 4: Simplify right side
    139,614.78x = 8,328,564,792.70
  5. Step 5: Solve for x
    x = 8,328,564,792.70/139,614.78
  6. Step 6: Final answer
    x = 59,653.89

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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.