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Finding the Fourth Proportional to 209,066.94, 288,513.09 and 123,029.28

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Solution

The fourth proportional to 209,066.94, 288,513.09 and 123,029.28 is: 169,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,066.94 : 288,513.09 = 123,029.28 : x
  2. Step 2: Convert to fraction form
    209,066.94/288,513.09 = 123,029.28/x
  3. Step 3: Cross multiply
    209,066.94x = 288,513.09 × 123,029.28
  4. Step 4: Simplify right side
    209,066.94x = 35,495,557,733.28
  5. Step 5: Solve for x
    x = 35,495,557,733.28/209,066.94
  6. Step 6: Final answer
    x = 169,780.83

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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.