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Finding the Fourth Proportional to 83,780.76, 115,531.74 and 55,476.12

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Solution

The fourth proportional to 83,780.76, 115,531.74 and 55,476.12 is: 76,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,780.76 : 115,531.74 = 55,476.12 : x
  2. Step 2: Convert to fraction form
    83,780.76/115,531.74 = 55,476.12/x
  3. Step 3: Cross multiply
    83,780.76x = 115,531.74 × 55,476.12
  4. Step 4: Simplify right side
    83,780.76x = 6,409,252,672.05
  5. Step 5: Solve for x
    x = 6,409,252,672.05/83,780.76
  6. Step 6: Final answer
    x = 76,500.29

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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.