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Finding the Fourth Proportional to 78,641.25, 108,529.25 and 45,109.41

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Solution

The fourth proportional to 78,641.25, 108,529.25 and 45,109.41 is: 62,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,641.25 : 108,529.25 = 45,109.41 : x
  2. Step 2: Convert to fraction form
    78,641.25/108,529.25 = 45,109.41/x
  3. Step 3: Cross multiply
    78,641.25x = 108,529.25 × 45,109.41
  4. Step 4: Simplify right side
    78,641.25x = 4,895,690,209.70
  5. Step 5: Solve for x
    x = 4,895,690,209.70/78,641.25
  6. Step 6: Final answer
    x = 62,253.46

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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.