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Finding the Fourth Proportional to 83,877.94, 125,816.94 and 57,502.72

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Solution

The fourth proportional to 83,877.94, 125,816.94 and 57,502.72 is: 86,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,877.94 : 125,816.94 = 57,502.72 : x
  2. Step 2: Convert to fraction form
    83,877.94/125,816.94 = 57,502.72/x
  3. Step 3: Cross multiply
    83,877.94x = 125,816.94 × 57,502.72
  4. Step 4: Simplify right side
    83,877.94x = 7,234,816,272.08
  5. Step 5: Solve for x
    x = 7,234,816,272.08/83,877.94
  6. Step 6: Final answer
    x = 86,254.10

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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.