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Finding the Fourth Proportional to 68,144.16, 102,232.71 and 21,397.02

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Solution

The fourth proportional to 68,144.16, 102,232.71 and 21,397.02 is: 32,100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,144.16 : 102,232.71 = 21,397.02 : x
  2. Step 2: Convert to fraction form
    68,144.16/102,232.71 = 21,397.02/x
  3. Step 3: Cross multiply
    68,144.16x = 102,232.71 × 21,397.02
  4. Step 4: Simplify right side
    68,144.16x = 2,187,475,340.52
  5. Step 5: Solve for x
    x = 2,187,475,340.52/68,144.16
  6. Step 6: Final answer
    x = 32,100.70

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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.