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Finding the Fourth Proportional to 71,376.72, 107,031.84 and 31,934.16

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Solution

The fourth proportional to 71,376.72, 107,031.84 and 31,934.16 is: 47,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,376.72 : 107,031.84 = 31,934.16 : x
  2. Step 2: Convert to fraction form
    71,376.72/107,031.84 = 31,934.16/x
  3. Step 3: Cross multiply
    71,376.72x = 107,031.84 × 31,934.16
  4. Step 4: Simplify right side
    71,376.72x = 3,417,971,903.65
  5. Step 5: Solve for x
    x = 3,417,971,903.65/71,376.72
  6. Step 6: Final answer
    x = 47,886.37

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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.