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Finding the Fourth Proportional to 78,488.29, 117,731.47 and 19,324.47

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Solution

The fourth proportional to 78,488.29, 117,731.47 and 19,324.47 is: 28,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,488.29 : 117,731.47 = 19,324.47 : x
  2. Step 2: Convert to fraction form
    78,488.29/117,731.47 = 19,324.47/x
  3. Step 3: Cross multiply
    78,488.29x = 117,731.47 × 19,324.47
  4. Step 4: Simplify right side
    78,488.29x = 2,275,098,260.07
  5. Step 5: Solve for x
    x = 2,275,098,260.07/78,488.29
  6. Step 6: Final answer
    x = 28,986.47

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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.