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Finding the Fourth Proportional to 200,585.80, 300,959.70 and 88,287.40

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Solution

The fourth proportional to 200,585.80, 300,959.70 and 88,287.40 is: 132,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,585.80 : 300,959.70 = 88,287.40 : x
  2. Step 2: Convert to fraction form
    200,585.80/300,959.70 = 88,287.40/x
  3. Step 3: Cross multiply
    200,585.80x = 300,959.70 × 88,287.40
  4. Step 4: Simplify right side
    200,585.80x = 26,570,949,417.78
  5. Step 5: Solve for x
    x = 26,570,949,417.78/200,585.80
  6. Step 6: Final answer
    x = 132,466.75

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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.