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Finding the Fourth Proportional to 91,613.84, 137,380.92 and 31,648.56

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Solution

The fourth proportional to 91,613.84, 137,380.92 and 31,648.56 is: 47,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,613.84 : 137,380.92 = 31,648.56 : x
  2. Step 2: Convert to fraction form
    91,613.84/137,380.92 = 31,648.56/x
  3. Step 3: Cross multiply
    91,613.84x = 137,380.92 × 31,648.56
  4. Step 4: Simplify right side
    91,613.84x = 4,347,908,289.48
  5. Step 5: Solve for x
    x = 4,347,908,289.48/91,613.84
  6. Step 6: Final answer
    x = 47,459.08

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1.5x scale

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.