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Finding the Fourth Proportional to 78,578.52, 117,871.67 and 22,426.91

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Solution

The fourth proportional to 78,578.52, 117,871.67 and 22,426.91 is: 33,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,578.52 : 117,871.67 = 22,426.91 : x
  2. Step 2: Convert to fraction form
    78,578.52/117,871.67 = 22,426.91/x
  3. Step 3: Cross multiply
    78,578.52x = 117,871.67 × 22,426.91
  4. Step 4: Simplify right side
    78,578.52x = 2,643,497,334.64
  5. Step 5: Solve for x
    x = 2,643,497,334.64/78,578.52
  6. Step 6: Final answer
    x = 33,641.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.