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Finding the Fourth Proportional to 200,328.12, 300,284.62 and 125,275.95

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Solution

The fourth proportional to 200,328.12, 300,284.62 and 125,275.95 is: 187,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,328.12 : 300,284.62 = 125,275.95 : x
  2. Step 2: Convert to fraction form
    200,328.12/300,284.62 = 125,275.95/x
  3. Step 3: Cross multiply
    200,328.12x = 300,284.62 × 125,275.95
  4. Step 4: Simplify right side
    200,328.12x = 37,618,440,727.70
  5. Step 5: Solve for x
    x = 37,618,440,727.70/200,328.12
  6. Step 6: Final answer
    x = 187,784.13

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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.