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Finding the Fourth Proportional to 78,062.70, 107,726.22 and 42,253.32

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Solution

The fourth proportional to 78,062.70, 107,726.22 and 42,253.32 is: 58,309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,062.70 : 107,726.22 = 42,253.32 : x
  2. Step 2: Convert to fraction form
    78,062.70/107,726.22 = 42,253.32/x
  3. Step 3: Cross multiply
    78,062.70x = 107,726.22 × 42,253.32
  4. Step 4: Simplify right side
    78,062.70x = 4,551,790,446.05
  5. Step 5: Solve for x
    x = 4,551,790,446.05/78,062.70
  6. Step 6: Final answer
    x = 58,309.42

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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.