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Finding the Fourth Proportional to 74,472.80, 111,709.20 and 52,311.20

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Solution

The fourth proportional to 74,472.80, 111,709.20 and 52,311.20 is: 78,466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,472.80 : 111,709.20 = 52,311.20 : x
  2. Step 2: Convert to fraction form
    74,472.80/111,709.20 = 52,311.20/x
  3. Step 3: Cross multiply
    74,472.80x = 111,709.20 × 52,311.20
  4. Step 4: Simplify right side
    74,472.80x = 5,843,642,303.04
  5. Step 5: Solve for x
    x = 5,843,642,303.04/74,472.80
  6. Step 6: Final answer
    x = 78,466.80

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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.