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Finding the Fourth Proportional to 138,126, 207,466 and 133,586.72

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Solution

The fourth proportional to 138,126, 207,466 and 133,586.72 is: 200,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,126 : 207,466 = 133,586.72 : x
  2. Step 2: Convert to fraction form
    138,126/207,466 = 133,586.72/x
  3. Step 3: Cross multiply
    138,126x = 207,466 × 133,586.72
  4. Step 4: Simplify right side
    138,126x = 27,714,702,451.52
  5. Step 5: Solve for x
    x = 27,714,702,451.52/138,126
  6. Step 6: Final answer
    x = 200,647.98

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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.