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Finding the Fourth Proportional to 138,406.50, 207,590.94 and 54,108

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Solution

The fourth proportional to 138,406.50, 207,590.94 and 54,108 is: 81,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,406.50 : 207,590.94 = 54,108 : x
  2. Step 2: Convert to fraction form
    138,406.50/207,590.94 = 54,108/x
  3. Step 3: Cross multiply
    138,406.50x = 207,590.94 × 54,108
  4. Step 4: Simplify right side
    138,406.50x = 11,232,330,581.52
  5. Step 5: Solve for x
    x = 11,232,330,581.52/138,406.50
  6. Step 6: Final answer
    x = 81,154.65

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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.