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Finding the Fourth Proportional to 208,894.68, 288,278.17 and 113,401.38

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Solution

The fourth proportional to 208,894.68, 288,278.17 and 113,401.38 is: 156,495.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,894.68 : 288,278.17 = 113,401.38 : x
  2. Step 2: Convert to fraction form
    208,894.68/288,278.17 = 113,401.38/x
  3. Step 3: Cross multiply
    208,894.68x = 288,278.17 × 113,401.38
  4. Step 4: Simplify right side
    208,894.68x = 32,691,142,301.87
  5. Step 5: Solve for x
    x = 32,691,142,301.87/208,894.68
  6. Step 6: Final answer
    x = 156,495.81

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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.