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Finding the Fourth Proportional to 216,843.10, 325,264.65 and 76,615.90

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Solution

The fourth proportional to 216,843.10, 325,264.65 and 76,615.90 is: 114,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,843.10 : 325,264.65 = 76,615.90 : x
  2. Step 2: Convert to fraction form
    216,843.10/325,264.65 = 76,615.90/x
  3. Step 3: Cross multiply
    216,843.10x = 325,264.65 × 76,615.90
  4. Step 4: Simplify right side
    216,843.10x = 24,920,443,897.94
  5. Step 5: Solve for x
    x = 24,920,443,897.94/216,843.10
  6. Step 6: Final answer
    x = 114,923.85

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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.