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Finding the Fourth Proportional to 207,169.85, 310,753.88 and 57,409.70

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Solution

The fourth proportional to 207,169.85, 310,753.88 and 57,409.70 is: 86,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,169.85 : 310,753.88 = 57,409.70 : x
  2. Step 2: Convert to fraction form
    207,169.85/310,753.88 = 57,409.70/x
  3. Step 3: Cross multiply
    207,169.85x = 310,753.88 × 57,409.70
  4. Step 4: Simplify right side
    207,169.85x = 17,840,287,801.52
  5. Step 5: Solve for x
    x = 17,840,287,801.52/207,169.85
  6. Step 6: Final answer
    x = 86,114.31

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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.