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Finding the Fourth Proportional to 207,586.80, 310,861.80 and 137,084.40

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Solution

The fourth proportional to 207,586.80, 310,861.80 and 137,084.40 is: 205,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,586.80 : 310,861.80 = 137,084.40 : x
  2. Step 2: Convert to fraction form
    207,586.80/310,861.80 = 137,084.40/x
  3. Step 3: Cross multiply
    207,586.80x = 310,861.80 × 137,084.40
  4. Step 4: Simplify right side
    207,586.80x = 42,614,303,335.92
  5. Step 5: Solve for x
    x = 42,614,303,335.92/207,586.80
  6. Step 6: Final answer
    x = 205,284.26

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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.