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Finding the Fourth Proportional to 215,901.92, 297,948.48 and 120,398.36

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Solution

The fourth proportional to 215,901.92, 297,948.48 and 120,398.36 is: 166,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,901.92 : 297,948.48 = 120,398.36 : x
  2. Step 2: Convert to fraction form
    215,901.92/297,948.48 = 120,398.36/x
  3. Step 3: Cross multiply
    215,901.92x = 297,948.48 × 120,398.36
  4. Step 4: Simplify right side
    215,901.92x = 35,872,508,356.49
  5. Step 5: Solve for x
    x = 35,872,508,356.49/215,901.92
  6. Step 6: Final answer
    x = 166,151.87

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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.