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Finding the Fourth Proportional to 78,726.57, 118,078.80 and 22,571.46

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Solution

The fourth proportional to 78,726.57, 118,078.80 and 22,571.46 is: 33,854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,726.57 : 118,078.80 = 22,571.46 : x
  2. Step 2: Convert to fraction form
    78,726.57/118,078.80 = 22,571.46/x
  3. Step 3: Cross multiply
    78,726.57x = 118,078.80 × 22,571.46
  4. Step 4: Simplify right side
    78,726.57x = 2,665,210,911.05
  5. Step 5: Solve for x
    x = 2,665,210,911.05/78,726.57
  6. Step 6: Final answer
    x = 33,854.02

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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.