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Finding the Fourth Proportional to 207,497.90, 311,252.88 and 81,133.04

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Solution

The fourth proportional to 207,497.90, 311,252.88 and 81,133.04 is: 121,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,497.90 : 311,252.88 = 81,133.04 : x
  2. Step 2: Convert to fraction form
    207,497.90/311,252.88 = 81,133.04/x
  3. Step 3: Cross multiply
    207,497.90x = 311,252.88 × 81,133.04
  4. Step 4: Simplify right side
    207,497.90x = 25,252,892,363.16
  5. Step 5: Solve for x
    x = 25,252,892,363.16/207,497.90
  6. Step 6: Final answer
    x = 121,701.92

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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.