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Finding the Fourth Proportional to 209,042.97, 288,480.72 and 113,549.64

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Solution

The fourth proportional to 209,042.97, 288,480.72 and 113,549.64 is: 156,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,042.97 : 288,480.72 = 113,549.64 : x
  2. Step 2: Convert to fraction form
    209,042.97/288,480.72 = 113,549.64/x
  3. Step 3: Cross multiply
    209,042.97x = 288,480.72 × 113,549.64
  4. Step 4: Simplify right side
    209,042.97x = 32,756,881,902.94
  5. Step 5: Solve for x
    x = 32,756,881,902.94/209,042.97
  6. Step 6: Final answer
    x = 156,699.28

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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.