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Finding the Fourth Proportional to 290,063.52, 435,116.22 and 121,414.14

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Solution

The fourth proportional to 290,063.52, 435,116.22 and 121,414.14 is: 182,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,063.52 : 435,116.22 = 121,414.14 : x
  2. Step 2: Convert to fraction form
    290,063.52/435,116.22 = 121,414.14/x
  3. Step 3: Cross multiply
    290,063.52x = 435,116.22 × 121,414.14
  4. Step 4: Simplify right side
    290,063.52x = 52,829,261,651.35
  5. Step 5: Solve for x
    x = 52,829,261,651.35/290,063.52
  6. Step 6: Final answer
    x = 182,129.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.