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Finding the Fourth Proportional to 87,705, 121,032.90 and 47,961

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Solution

The fourth proportional to 87,705, 121,032.90 and 47,961 is: 66,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,705 : 121,032.90 = 47,961 : x
  2. Step 2: Convert to fraction form
    87,705/121,032.90 = 47,961/x
  3. Step 3: Cross multiply
    87,705x = 121,032.90 × 47,961
  4. Step 4: Simplify right side
    87,705x = 5,804,858,916.90
  5. Step 5: Solve for x
    x = 5,804,858,916.90/87,705
  6. Step 6: Final answer
    x = 66,186.18

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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.