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Finding the Fourth Proportional to 84,602.61, 126,871.11 and 45,138.20

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Solution

The fourth proportional to 84,602.61, 126,871.11 and 45,138.20 is: 67,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,602.61 : 126,871.11 = 45,138.20 : x
  2. Step 2: Convert to fraction form
    84,602.61/126,871.11 = 45,138.20/x
  3. Step 3: Cross multiply
    84,602.61x = 126,871.11 × 45,138.20
  4. Step 4: Simplify right side
    84,602.61x = 5,726,732,903.05
  5. Step 5: Solve for x
    x = 5,726,732,903.05/84,602.61
  6. Step 6: Final answer
    x = 67,689.79

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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.