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Finding the Fourth Proportional to 91,461.40, 137,207.34 and 31,487.56

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Solution

The fourth proportional to 91,461.40, 137,207.34 and 31,487.56 is: 47,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,461.40 : 137,207.34 = 31,487.56 : x
  2. Step 2: Convert to fraction form
    91,461.40/137,207.34 = 31,487.56/x
  3. Step 3: Cross multiply
    91,461.40x = 137,207.34 × 31,487.56
  4. Step 4: Simplify right side
    91,461.40x = 4,320,324,350.69
  5. Step 5: Solve for x
    x = 4,320,324,350.69/91,461.40
  6. Step 6: Final answer
    x = 47,236.59

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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.