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Finding the Fourth Proportional to 74,713.20, 111,971.40 and 54,898.80

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Solution

The fourth proportional to 74,713.20, 111,971.40 and 54,898.80 is: 82,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,713.20 : 111,971.40 = 54,898.80 : x
  2. Step 2: Convert to fraction form
    74,713.20/111,971.40 = 54,898.80/x
  3. Step 3: Cross multiply
    74,713.20x = 111,971.40 × 54,898.80
  4. Step 4: Simplify right side
    74,713.20x = 6,147,095,494.32
  5. Step 5: Solve for x
    x = 6,147,095,494.32/74,713.20
  6. Step 6: Final answer
    x = 82,275.90

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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.