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Finding the Fourth Proportional to 71,314.20, 106,971.30 and 43,320.60

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Solution

The fourth proportional to 71,314.20, 106,971.30 and 43,320.60 is: 64,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,314.20 : 106,971.30 = 43,320.60 : x
  2. Step 2: Convert to fraction form
    71,314.20/106,971.30 = 43,320.60/x
  3. Step 3: Cross multiply
    71,314.20x = 106,971.30 × 43,320.60
  4. Step 4: Simplify right side
    71,314.20x = 4,634,060,898.78
  5. Step 5: Solve for x
    x = 4,634,060,898.78/71,314.20
  6. Step 6: Final answer
    x = 64,980.90

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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.