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Finding the Fourth Proportional to 83,503.76, 115,235.06 and 45,780.44

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Solution

The fourth proportional to 83,503.76, 115,235.06 and 45,780.44 is: 63,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,503.76 : 115,235.06 = 45,780.44 : x
  2. Step 2: Convert to fraction form
    83,503.76/115,235.06 = 45,780.44/x
  3. Step 3: Cross multiply
    83,503.76x = 115,235.06 × 45,780.44
  4. Step 4: Simplify right side
    83,503.76x = 5,275,510,945.15
  5. Step 5: Solve for x
    x = 5,275,510,945.15/83,503.76
  6. Step 6: Final answer
    x = 63,176.93

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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.