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Finding the Fourth Proportional to 138,294.77, 207,089.15 and 110,255.72

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Solution

The fourth proportional to 138,294.77, 207,089.15 and 110,255.72 is: 165,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,294.77 : 207,089.15 = 110,255.72 : x
  2. Step 2: Convert to fraction form
    138,294.77/207,089.15 = 110,255.72/x
  3. Step 3: Cross multiply
    138,294.77x = 207,089.15 × 110,255.72
  4. Step 4: Simplify right side
    138,294.77x = 22,832,762,786.16
  5. Step 5: Solve for x
    x = 22,832,762,786.16/138,294.77
  6. Step 6: Final answer
    x = 165,102.14

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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.