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Finding the Fourth Proportional to 207,641.80, 311,462.70 and 57,892.60

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Solution

The fourth proportional to 207,641.80, 311,462.70 and 57,892.60 is: 86,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,641.80 : 311,462.70 = 57,892.60 : x
  2. Step 2: Convert to fraction form
    207,641.80/311,462.70 = 57,892.60/x
  3. Step 3: Cross multiply
    207,641.80x = 311,462.70 × 57,892.60
  4. Step 4: Simplify right side
    207,641.80x = 18,031,385,506.02
  5. Step 5: Solve for x
    x = 18,031,385,506.02/207,641.80
  6. Step 6: Final answer
    x = 86,838.90

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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.