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Finding the Fourth Proportional to 84,123.70, 125,889.12 and 52,548.62

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Solution

The fourth proportional to 84,123.70, 125,889.12 and 52,548.62 is: 78,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,123.70 : 125,889.12 = 52,548.62 : x
  2. Step 2: Convert to fraction form
    84,123.70/125,889.12 = 52,548.62/x
  3. Step 3: Cross multiply
    84,123.70x = 125,889.12 × 52,548.62
  4. Step 4: Simplify right side
    84,123.70x = 6,615,298,899.57
  5. Step 5: Solve for x
    x = 6,615,298,899.57/84,123.70
  6. Step 6: Final answer
    x = 78,637.76

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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.