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Finding the Fourth Proportional to 87,643, 121,177.78 and 83,726.20

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Solution

The fourth proportional to 87,643, 121,177.78 and 83,726.20 is: 115,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,643 : 121,177.78 = 83,726.20 : x
  2. Step 2: Convert to fraction form
    87,643/121,177.78 = 83,726.20/x
  3. Step 3: Cross multiply
    87,643x = 121,177.78 × 83,726.20
  4. Step 4: Simplify right side
    87,643x = 10,145,755,043.84
  5. Step 5: Solve for x
    x = 10,145,755,043.84/87,643
  6. Step 6: Final answer
    x = 115,762.30

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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.