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Finding the Fourth Proportional to 138,666.30, 207,999.45 and 133,223.10

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Solution

The fourth proportional to 138,666.30, 207,999.45 and 133,223.10 is: 199,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,666.30 : 207,999.45 = 133,223.10 : x
  2. Step 2: Convert to fraction form
    138,666.30/207,999.45 = 133,223.10/x
  3. Step 3: Cross multiply
    138,666.30x = 207,999.45 × 133,223.10
  4. Step 4: Simplify right side
    138,666.30x = 27,710,331,527.30
  5. Step 5: Solve for x
    x = 27,710,331,527.30/138,666.30
  6. Step 6: Final answer
    x = 199,834.65

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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.