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Finding the Fourth Proportional to 100,702.10, 138,966.11 and 55,380.07

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Solution

The fourth proportional to 100,702.10, 138,966.11 and 55,380.07 is: 76,422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,702.10 : 138,966.11 = 55,380.07 : x
  2. Step 2: Convert to fraction form
    100,702.10/138,966.11 = 55,380.07/x
  3. Step 3: Cross multiply
    100,702.10x = 138,966.11 × 55,380.07
  4. Step 4: Simplify right side
    100,702.10x = 7,695,953,315.42
  5. Step 5: Solve for x
    x = 7,695,953,315.42/100,702.10
  6. Step 6: Final answer
    x = 76,422.97

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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.