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Finding the Fourth Proportional to 138,643.85, 207,965.10 and 54,344.45

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Solution

The fourth proportional to 138,643.85, 207,965.10 and 54,344.45 is: 81,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,643.85 : 207,965.10 = 54,344.45 : x
  2. Step 2: Convert to fraction form
    138,643.85/207,965.10 = 54,344.45/x
  3. Step 3: Cross multiply
    138,643.85x = 207,965.10 × 54,344.45
  4. Step 4: Simplify right side
    138,643.85x = 11,301,748,978.70
  5. Step 5: Solve for x
    x = 11,301,748,978.70/138,643.85
  6. Step 6: Final answer
    x = 81,516.41

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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.