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Finding the Fourth Proportional to 138,417.96, 207,607.23 and 43,635.84

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Solution

The fourth proportional to 138,417.96, 207,607.23 and 43,635.84 is: 65,447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,417.96 : 207,607.23 = 43,635.84 : x
  2. Step 2: Convert to fraction form
    138,417.96/207,607.23 = 43,635.84/x
  3. Step 3: Cross multiply
    138,417.96x = 207,607.23 × 43,635.84
  4. Step 4: Simplify right side
    138,417.96x = 9,059,115,871.12
  5. Step 5: Solve for x
    x = 9,059,115,871.12/138,417.96
  6. Step 6: Final answer
    x = 65,447.55

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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.