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Finding the Fourth Proportional to 71,378.47, 107,068.47 and 29,247.73

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Solution

The fourth proportional to 71,378.47, 107,068.47 and 29,247.73 is: 43,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,378.47 : 107,068.47 = 29,247.73 : x
  2. Step 2: Convert to fraction form
    71,378.47/107,068.47 = 29,247.73/x
  3. Step 3: Cross multiply
    71,378.47x = 107,068.47 × 29,247.73
  4. Step 4: Simplify right side
    71,378.47x = 3,131,509,702.07
  5. Step 5: Solve for x
    x = 3,131,509,702.07/71,378.47
  6. Step 6: Final answer
    x = 43,871.91

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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.