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Finding the Fourth Proportional to 138,444, 207,714.12 and 43,688.76

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Solution

The fourth proportional to 138,444, 207,714.12 and 43,688.76 is: 65,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,444 : 207,714.12 = 43,688.76 : x
  2. Step 2: Convert to fraction form
    138,444/207,714.12 = 43,688.76/x
  3. Step 3: Cross multiply
    138,444x = 207,714.12 × 43,688.76
  4. Step 4: Simplify right side
    138,444x = 9,074,772,337.29
  5. Step 5: Solve for x
    x = 9,074,772,337.29/138,444
  6. Step 6: Final answer
    x = 65,548.33

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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.