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Finding the Fourth Proportional to 127,454.52, 175,895.84 and 84,359.78

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Solution

The fourth proportional to 127,454.52, 175,895.84 and 84,359.78 is: 116,422.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,454.52 : 175,895.84 = 84,359.78 : x
  2. Step 2: Convert to fraction form
    127,454.52/175,895.84 = 84,359.78/x
  3. Step 3: Cross multiply
    127,454.52x = 175,895.84 × 84,359.78
  4. Step 4: Simplify right side
    127,454.52x = 14,838,533,064.04
  5. Step 5: Solve for x
    x = 14,838,533,064.04/127,454.52
  6. Step 6: Final answer
    x = 116,422.18

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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.