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Finding the Fourth Proportional to 210,841.92, 290,961.18 and 115,347.78

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Solution

The fourth proportional to 210,841.92, 290,961.18 and 115,347.78 is: 159,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,841.92 : 290,961.18 = 115,347.78 : x
  2. Step 2: Convert to fraction form
    210,841.92/290,961.18 = 115,347.78/x
  3. Step 3: Cross multiply
    210,841.92x = 290,961.18 × 115,347.78
  4. Step 4: Simplify right side
    210,841.92x = 33,561,726,179.18
  5. Step 5: Solve for x
    x = 33,561,726,179.18/210,841.92
  6. Step 6: Final answer
    x = 159,179.57

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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.