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Finding the Fourth Proportional to 78,632.70, 117,943.65 and 25,323.90

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Solution

The fourth proportional to 78,632.70, 117,943.65 and 25,323.90 is: 37,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,632.70 : 117,943.65 = 25,323.90 : x
  2. Step 2: Convert to fraction form
    78,632.70/117,943.65 = 25,323.90/x
  3. Step 3: Cross multiply
    78,632.70x = 117,943.65 × 25,323.90
  4. Step 4: Simplify right side
    78,632.70x = 2,986,793,198.24
  5. Step 5: Solve for x
    x = 2,986,793,198.24/78,632.70
  6. Step 6: Final answer
    x = 37,984.11

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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.