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Finding the Fourth Proportional to 101,612.40, 152,423.40 and 31,540.80

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Solution

The fourth proportional to 101,612.40, 152,423.40 and 31,540.80 is: 47,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,612.40 : 152,423.40 = 31,540.80 : x
  2. Step 2: Convert to fraction form
    101,612.40/152,423.40 = 31,540.80/x
  3. Step 3: Cross multiply
    101,612.40x = 152,423.40 × 31,540.80
  4. Step 4: Simplify right side
    101,612.40x = 4,807,555,974.72
  5. Step 5: Solve for x
    x = 4,807,555,974.72/101,612.40
  6. Step 6: Final answer
    x = 47,312.69

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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.