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Finding the Fourth Proportional to 119,378.38, 164,743.55 and 65,663.79

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Solution

The fourth proportional to 119,378.38, 164,743.55 and 65,663.79 is: 90,616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,378.38 : 164,743.55 = 65,663.79 : x
  2. Step 2: Convert to fraction form
    119,378.38/164,743.55 = 65,663.79/x
  3. Step 3: Cross multiply
    119,378.38x = 164,743.55 × 65,663.79
  4. Step 4: Simplify right side
    119,378.38x = 10,817,685,449.85
  5. Step 5: Solve for x
    x = 10,817,685,449.85/119,378.38
  6. Step 6: Final answer
    x = 90,616.79

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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.