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Finding the Fourth Proportional to 78,062.52, 107,726.09 and 42,252.24

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Solution

The fourth proportional to 78,062.52, 107,726.09 and 42,252.24 is: 58,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,062.52 : 107,726.09 = 42,252.24 : x
  2. Step 2: Convert to fraction form
    78,062.52/107,726.09 = 42,252.24/x
  3. Step 3: Cross multiply
    78,062.52x = 107,726.09 × 42,252.24
  4. Step 4: Simplify right side
    78,062.52x = 4,551,668,397.68
  5. Step 5: Solve for x
    x = 4,551,668,397.68/78,062.52
  6. Step 6: Final answer
    x = 58,307.99

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1.5x scale

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.