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Finding the Fourth Proportional to 186,751.80, 280,084.98 and 53,631

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Solution

The fourth proportional to 186,751.80, 280,084.98 and 53,631 is: 80,434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,751.80 : 280,084.98 = 53,631 : x
  2. Step 2: Convert to fraction form
    186,751.80/280,084.98 = 53,631/x
  3. Step 3: Cross multiply
    186,751.80x = 280,084.98 × 53,631
  4. Step 4: Simplify right side
    186,751.80x = 15,021,237,562.38
  5. Step 5: Solve for x
    x = 15,021,237,562.38/186,751.80
  6. Step 6: Final answer
    x = 80,434.23

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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.