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Finding the Fourth Proportional to 78,632.14, 108,514.32 and 42,824.14

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Solution

The fourth proportional to 78,632.14, 108,514.32 and 42,824.14 is: 59,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,632.14 : 108,514.32 = 42,824.14 : x
  2. Step 2: Convert to fraction form
    78,632.14/108,514.32 = 42,824.14/x
  3. Step 3: Cross multiply
    78,632.14x = 108,514.32 × 42,824.14
  4. Step 4: Simplify right side
    78,632.14x = 4,647,032,431.68
  5. Step 5: Solve for x
    x = 4,647,032,431.68/78,632.14
  6. Step 6: Final answer
    x = 59,098.38

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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.