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Finding the Fourth Proportional to 119,666.87, 165,138.02 and 65,219.49

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Solution

The fourth proportional to 119,666.87, 165,138.02 and 65,219.49 is: 90,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,666.87 : 165,138.02 = 65,219.49 : x
  2. Step 2: Convert to fraction form
    119,666.87/165,138.02 = 65,219.49/x
  3. Step 3: Cross multiply
    119,666.87x = 165,138.02 × 65,219.49
  4. Step 4: Simplify right side
    119,666.87x = 10,770,217,411.28
  5. Step 5: Solve for x
    x = 10,770,217,411.28/119,666.87
  6. Step 6: Final answer
    x = 90,001.66

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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.