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Finding the Fourth Proportional to 40,515.70, 60,664.20 and 31,767.70

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Solution

The fourth proportional to 40,515.70, 60,664.20 and 31,767.70 is: 47,565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,515.70 : 60,664.20 = 31,767.70 : x
  2. Step 2: Convert to fraction form
    40,515.70/60,664.20 = 31,767.70/x
  3. Step 3: Cross multiply
    40,515.70x = 60,664.20 × 31,767.70
  4. Step 4: Simplify right side
    40,515.70x = 1,927,162,106.34
  5. Step 5: Solve for x
    x = 1,927,162,106.34/40,515.70
  6. Step 6: Final answer
    x = 47,565.81

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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.