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Finding the Fourth Proportional to 61,134.40, 91,586.40 and 31,451.20

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Solution

The fourth proportional to 61,134.40, 91,586.40 and 31,451.20 is: 47,117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,134.40 : 91,586.40 = 31,451.20 : x
  2. Step 2: Convert to fraction form
    61,134.40/91,586.40 = 31,451.20/x
  3. Step 3: Cross multiply
    61,134.40x = 91,586.40 × 31,451.20
  4. Step 4: Simplify right side
    61,134.40x = 2,880,502,183.68
  5. Step 5: Solve for x
    x = 2,880,502,183.68/61,134.40
  6. Step 6: Final answer
    x = 47,117.53

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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.