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Finding the Fourth Proportional to 47,499, 71,272.76 and 19,439.76

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Solution

The fourth proportional to 47,499, 71,272.76 and 19,439.76 is: 29,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,499 : 71,272.76 = 19,439.76 : x
  2. Step 2: Convert to fraction form
    47,499/71,272.76 = 19,439.76/x
  3. Step 3: Cross multiply
    47,499x = 71,272.76 × 19,439.76
  4. Step 4: Simplify right side
    47,499x = 1,385,525,348.94
  5. Step 5: Solve for x
    x = 1,385,525,348.94/47,499
  6. Step 6: Final answer
    x = 29,169.57

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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.