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Finding the Fourth Proportional to 78,632.17, 108,514.34 and 42,824.13

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Solution

The fourth proportional to 78,632.17, 108,514.34 and 42,824.13 is: 59,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,632.17 : 108,514.34 = 42,824.13 : x
  2. Step 2: Convert to fraction form
    78,632.17/108,514.34 = 42,824.13/x
  3. Step 3: Cross multiply
    78,632.17x = 108,514.34 × 42,824.13
  4. Step 4: Simplify right side
    78,632.17x = 4,647,032,203.02
  5. Step 5: Solve for x
    x = 4,647,032,203.02/78,632.17
  6. Step 6: Final answer
    x = 59,098.36

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