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Finding the Fourth Proportional to 208,806.42, 288,010.17 and 133,320.90

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Solution

The fourth proportional to 208,806.42, 288,010.17 and 133,320.90 is: 183,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,806.42 : 288,010.17 = 133,320.90 : x
  2. Step 2: Convert to fraction form
    208,806.42/288,010.17 = 133,320.90/x
  3. Step 3: Cross multiply
    208,806.42x = 288,010.17 × 133,320.90
  4. Step 4: Simplify right side
    208,806.42x = 38,397,775,073.55
  5. Step 5: Solve for x
    x = 38,397,775,073.55/208,806.42
  6. Step 6: Final answer
    x = 183,891.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.