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Finding the Fourth Proportional to 138,442.72, 191,052.96 and 81,859.36

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Solution

The fourth proportional to 138,442.72, 191,052.96 and 81,859.36 is: 112,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,442.72 : 191,052.96 = 81,859.36 : x
  2. Step 2: Convert to fraction form
    138,442.72/191,052.96 = 81,859.36/x
  3. Step 3: Cross multiply
    138,442.72x = 191,052.96 × 81,859.36
  4. Step 4: Simplify right side
    138,442.72x = 15,639,473,031.71
  5. Step 5: Solve for x
    x = 15,639,473,031.71/138,442.72
  6. Step 6: Final answer
    x = 112,967.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.