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Finding the Fourth Proportional to 138,127, 207,467.50 and 133,587.72

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Solution

The fourth proportional to 138,127, 207,467.50 and 133,587.72 is: 200,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,127 : 207,467.50 = 133,587.72 : x
  2. Step 2: Convert to fraction form
    138,127/207,467.50 = 133,587.72/x
  3. Step 3: Cross multiply
    138,127x = 207,467.50 × 133,587.72
  4. Step 4: Simplify right side
    138,127x = 27,715,110,299.10
  5. Step 5: Solve for x
    x = 27,715,110,299.10/138,127
  6. Step 6: Final answer
    x = 200,649.48

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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.