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Finding the Fourth Proportional to 78,514.79, 108,295.52 and 51,648.71

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Solution

The fourth proportional to 78,514.79, 108,295.52 and 51,648.71 is: 71,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,514.79 : 108,295.52 = 51,648.71 : x
  2. Step 2: Convert to fraction form
    78,514.79/108,295.52 = 51,648.71/x
  3. Step 3: Cross multiply
    78,514.79x = 108,295.52 × 51,648.71
  4. Step 4: Simplify right side
    78,514.79x = 5,593,323,107.06
  5. Step 5: Solve for x
    x = 5,593,323,107.06/78,514.79
  6. Step 6: Final answer
    x = 71,239.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.