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Finding the Fourth Proportional to 87,762.97, 121,112.54 and 47,476.64

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Solution

The fourth proportional to 87,762.97, 121,112.54 and 47,476.64 is: 65,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,762.97 : 121,112.54 = 47,476.64 : x
  2. Step 2: Convert to fraction form
    87,762.97/121,112.54 = 47,476.64/x
  3. Step 3: Cross multiply
    87,762.97x = 121,112.54 × 47,476.64
  4. Step 4: Simplify right side
    87,762.97x = 5,750,016,461.07
  5. Step 5: Solve for x
    x = 5,750,016,461.07/87,762.97
  6. Step 6: Final answer
    x = 65,517.57

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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.