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Finding the Fourth Proportional to 92,272.47, 138,359.46 and 47,788.89

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Solution

The fourth proportional to 92,272.47, 138,359.46 and 47,788.89 is: 71,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,272.47 : 138,359.46 = 47,788.89 : x
  2. Step 2: Convert to fraction form
    92,272.47/138,359.46 = 47,788.89/x
  3. Step 3: Cross multiply
    92,272.47x = 138,359.46 × 47,788.89
  4. Step 4: Simplify right side
    92,272.47x = 6,612,045,014.40
  5. Step 5: Solve for x
    x = 6,612,045,014.40/92,272.47
  6. Step 6: Final answer
    x = 71,657.83

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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.