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Finding the Fourth Proportional to 200,488.95, 300,545.03 and 67,275.78

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Solution

The fourth proportional to 200,488.95, 300,545.03 and 67,275.78 is: 100,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,488.95 : 300,545.03 = 67,275.78 : x
  2. Step 2: Convert to fraction form
    200,488.95/300,545.03 = 67,275.78/x
  3. Step 3: Cross multiply
    200,488.95x = 300,545.03 × 67,275.78
  4. Step 4: Simplify right side
    200,488.95x = 20,219,400,981.99
  5. Step 5: Solve for x
    x = 20,219,400,981.99/200,488.95
  6. Step 6: Final answer
    x = 100,850.45

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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.