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Finding the Fourth Proportional to 119,102.96, 164,351.68 and 65,387.76

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Solution

The fourth proportional to 119,102.96, 164,351.68 and 65,387.76 is: 90,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,102.96 : 164,351.68 = 65,387.76 : x
  2. Step 2: Convert to fraction form
    119,102.96/164,351.68 = 65,387.76/x
  3. Step 3: Cross multiply
    119,102.96x = 164,351.68 × 65,387.76
  4. Step 4: Simplify right side
    119,102.96x = 10,746,588,207.44
  5. Step 5: Solve for x
    x = 10,746,588,207.44/119,102.96
  6. Step 6: Final answer
    x = 90,229.40

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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.