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Finding the Fourth Proportional to 54,869.68, 82,304.52 and 15,430.80

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Solution

The fourth proportional to 54,869.68, 82,304.52 and 15,430.80 is: 23,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,869.68 : 82,304.52 = 15,430.80 : x
  2. Step 2: Convert to fraction form
    54,869.68/82,304.52 = 15,430.80/x
  3. Step 3: Cross multiply
    54,869.68x = 82,304.52 × 15,430.80
  4. Step 4: Simplify right side
    54,869.68x = 1,270,024,587.22
  5. Step 5: Solve for x
    x = 1,270,024,587.22/54,869.68
  6. Step 6: Final answer
    x = 23,146.20

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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.