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Finding the Fourth Proportional to 82,641.40, 124,091.70 and 47,649.40

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Solution

The fourth proportional to 82,641.40, 124,091.70 and 47,649.40 is: 71,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,641.40 : 124,091.70 = 47,649.40 : x
  2. Step 2: Convert to fraction form
    82,641.40/124,091.70 = 47,649.40/x
  3. Step 3: Cross multiply
    82,641.40x = 124,091.70 × 47,649.40
  4. Step 4: Simplify right side
    82,641.40x = 5,912,895,049.98
  5. Step 5: Solve for x
    x = 5,912,895,049.98/82,641.40
  6. Step 6: Final answer
    x = 71,548.82

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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.