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Finding the Fourth Proportional to 87,709, 121,038.42 and 47,965

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Solution

The fourth proportional to 87,709, 121,038.42 and 47,965 is: 66,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,709 : 121,038.42 = 47,965 : x
  2. Step 2: Convert to fraction form
    87,709/121,038.42 = 47,965/x
  3. Step 3: Cross multiply
    87,709x = 121,038.42 × 47,965
  4. Step 4: Simplify right side
    87,709x = 5,805,607,815.30
  5. Step 5: Solve for x
    x = 5,805,607,815.30/87,709
  6. Step 6: Final answer
    x = 66,191.70

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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.