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Finding the Fourth Proportional to 71,027.30, 106,656.15 and 51,443.30

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Solution

The fourth proportional to 71,027.30, 106,656.15 and 51,443.30 is: 77,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,027.30 : 106,656.15 = 51,443.30 : x
  2. Step 2: Convert to fraction form
    71,027.30/106,656.15 = 51,443.30/x
  3. Step 3: Cross multiply
    71,027.30x = 106,656.15 × 51,443.30
  4. Step 4: Simplify right side
    71,027.30x = 5,486,744,321.30
  5. Step 5: Solve for x
    x = 5,486,744,321.30/71,027.30
  6. Step 6: Final answer
    x = 77,248.39

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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.