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Finding the Fourth Proportional to 54,666, 82,001.12 and 19,120.40

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Solution

The fourth proportional to 54,666, 82,001.12 and 19,120.40 is: 28,681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,666 : 82,001.12 = 19,120.40 : x
  2. Step 2: Convert to fraction form
    54,666/82,001.12 = 19,120.40/x
  3. Step 3: Cross multiply
    54,666x = 82,001.12 × 19,120.40
  4. Step 4: Simplify right side
    54,666x = 1,567,894,214.85
  5. Step 5: Solve for x
    x = 1,567,894,214.85/54,666
  6. Step 6: Final answer
    x = 28,681.34

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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.