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Finding the Fourth Proportional to 215,073.96, 296,788.14 and 119,578.20

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Solution

The fourth proportional to 215,073.96, 296,788.14 and 119,578.20 is: 165,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,073.96 : 296,788.14 = 119,578.20 : x
  2. Step 2: Convert to fraction form
    215,073.96/296,788.14 = 119,578.20/x
  3. Step 3: Cross multiply
    215,073.96x = 296,788.14 × 119,578.20
  4. Step 4: Simplify right side
    215,073.96x = 35,489,391,562.55
  5. Step 5: Solve for x
    x = 35,489,391,562.55/215,073.96
  6. Step 6: Final answer
    x = 165,010.17

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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.