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Finding the Fourth Proportional to 71,889.03, 107,815.05 and 29,780.91

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Solution

The fourth proportional to 71,889.03, 107,815.05 and 29,780.91 is: 44,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,889.03 : 107,815.05 = 29,780.91 : x
  2. Step 2: Convert to fraction form
    71,889.03/107,815.05 = 29,780.91/x
  3. Step 3: Cross multiply
    71,889.03x = 107,815.05 × 29,780.91
  4. Step 4: Simplify right side
    71,889.03x = 3,210,830,300.70
  5. Step 5: Solve for x
    x = 3,210,830,300.70/71,889.03
  6. Step 6: Final answer
    x = 44,663.70

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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.