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Finding the Fourth Proportional to 81,487.50, 112,459.23 and 47,959.98

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Solution

The fourth proportional to 81,487.50, 112,459.23 and 47,959.98 is: 66,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,487.50 : 112,459.23 = 47,959.98 : x
  2. Step 2: Convert to fraction form
    81,487.50/112,459.23 = 47,959.98/x
  3. Step 3: Cross multiply
    81,487.50x = 112,459.23 × 47,959.98
  4. Step 4: Simplify right side
    81,487.50x = 5,393,542,421.62
  5. Step 5: Solve for x
    x = 5,393,542,421.62/81,487.50
  6. Step 6: Final answer
    x = 66,188.59

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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.