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Finding the Fourth Proportional to 84,453.90, 126,601.65 and 31,898.70

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Solution

The fourth proportional to 84,453.90, 126,601.65 and 31,898.70 is: 47,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,453.90 : 126,601.65 = 31,898.70 : x
  2. Step 2: Convert to fraction form
    84,453.90/126,601.65 = 31,898.70/x
  3. Step 3: Cross multiply
    84,453.90x = 126,601.65 × 31,898.70
  4. Step 4: Simplify right side
    84,453.90x = 4,038,428,052.86
  5. Step 5: Solve for x
    x = 4,038,428,052.86/84,453.90
  6. Step 6: Final answer
    x = 47,818.14

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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.