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Finding the Fourth Proportional to 87,885.16, 121,280.92 and 47,598

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Solution

The fourth proportional to 87,885.16, 121,280.92 and 47,598 is: 65,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,885.16 : 121,280.92 = 47,598 : x
  2. Step 2: Convert to fraction form
    87,885.16/121,280.92 = 47,598/x
  3. Step 3: Cross multiply
    87,885.16x = 121,280.92 × 47,598
  4. Step 4: Simplify right side
    87,885.16x = 5,772,728,992.17
  5. Step 5: Solve for x
    x = 5,772,728,992.17/87,885.16
  6. Step 6: Final answer
    x = 65,684.91

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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.