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Finding the Fourth Proportional to 210,294.32, 290,310.21 and 129,766.19

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Solution

The fourth proportional to 210,294.32, 290,310.21 and 129,766.19 is: 179,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,294.32 : 290,310.21 = 129,766.19 : x
  2. Step 2: Convert to fraction form
    210,294.32/290,310.21 = 129,766.19/x
  3. Step 3: Cross multiply
    210,294.32x = 290,310.21 × 129,766.19
  4. Step 4: Simplify right side
    210,294.32x = 37,672,448,418.25
  5. Step 5: Solve for x
    x = 37,672,448,418.25/210,294.32
  6. Step 6: Final answer
    x = 179,141.54

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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.