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Finding the Fourth Proportional to 71,897.90, 107,956.20 and 55,276.70

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Solution

The fourth proportional to 71,897.90, 107,956.20 and 55,276.70 is: 82,999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,897.90 : 107,956.20 = 55,276.70 : x
  2. Step 2: Convert to fraction form
    71,897.90/107,956.20 = 55,276.70/x
  3. Step 3: Cross multiply
    71,897.90x = 107,956.20 × 55,276.70
  4. Step 4: Simplify right side
    71,897.90x = 5,967,462,480.54
  5. Step 5: Solve for x
    x = 5,967,462,480.54/71,897.90
  6. Step 6: Final answer
    x = 82,999.12

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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.