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Finding the Fourth Proportional to 138,166.30, 207,358.80 and 53,966.80

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Solution

The fourth proportional to 138,166.30, 207,358.80 and 53,966.80 is: 80,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,166.30 : 207,358.80 = 53,966.80 : x
  2. Step 2: Convert to fraction form
    138,166.30/207,358.80 = 53,966.80/x
  3. Step 3: Cross multiply
    138,166.30x = 207,358.80 × 53,966.80
  4. Step 4: Simplify right side
    138,166.30x = 11,190,490,887.84
  5. Step 5: Solve for x
    x = 11,190,490,887.84/138,166.30
  6. Step 6: Final answer
    x = 80,992.91

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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.