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Finding the Fourth Proportional to 138,847.41, 208,130.90 and 54,666.65

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Solution

The fourth proportional to 138,847.41, 208,130.90 and 54,666.65 is: 81,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,847.41 : 208,130.90 = 54,666.65 : x
  2. Step 2: Convert to fraction form
    138,847.41/208,130.90 = 54,666.65/x
  3. Step 3: Cross multiply
    138,847.41x = 208,130.90 × 54,666.65
  4. Step 4: Simplify right side
    138,847.41x = 11,377,819,311.48
  5. Step 5: Solve for x
    x = 11,377,819,311.48/138,847.41
  6. Step 6: Final answer
    x = 81,944.77

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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.