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Finding the Fourth Proportional to 87,892.25, 121,291.25 and 47,606

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Solution

The fourth proportional to 87,892.25, 121,291.25 and 47,606 is: 65,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,892.25 : 121,291.25 = 47,606 : x
  2. Step 2: Convert to fraction form
    87,892.25/121,291.25 = 47,606/x
  3. Step 3: Cross multiply
    87,892.25x = 121,291.25 × 47,606
  4. Step 4: Simplify right side
    87,892.25x = 5,774,191,247.50
  5. Step 5: Solve for x
    x = 5,774,191,247.50/87,892.25
  6. Step 6: Final answer
    x = 65,696.25

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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.