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Finding the Fourth Proportional to 78,514.65, 117,732.56 and 36,358.47

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Solution

The fourth proportional to 78,514.65, 117,732.56 and 36,358.47 is: 54,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,514.65 : 117,732.56 = 36,358.47 : x
  2. Step 2: Convert to fraction form
    78,514.65/117,732.56 = 36,358.47/x
  3. Step 3: Cross multiply
    78,514.65x = 117,732.56 × 36,358.47
  4. Step 4: Simplify right side
    78,514.65x = 4,280,575,568.99
  5. Step 5: Solve for x
    x = 4,280,575,568.99/78,514.65
  6. Step 6: Final answer
    x = 54,519.45

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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.