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Finding the Fourth Proportional to 186,967.80, 280,338.92 and 87,150.38

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Solution

The fourth proportional to 186,967.80, 280,338.92 and 87,150.38 is: 130,673.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,967.80 : 280,338.92 = 87,150.38 : x
  2. Step 2: Convert to fraction form
    186,967.80/280,338.92 = 87,150.38/x
  3. Step 3: Cross multiply
    186,967.80x = 280,338.92 × 87,150.38
  4. Step 4: Simplify right side
    186,967.80x = 24,431,643,406.79
  5. Step 5: Solve for x
    x = 24,431,643,406.79/186,967.80
  6. Step 6: Final answer
    x = 130,673.00

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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.