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Finding the Fourth Proportional to 119,143.48, 164,419.17 and 65,429.65

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Solution

The fourth proportional to 119,143.48, 164,419.17 and 65,429.65 is: 90,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,143.48 : 164,419.17 = 65,429.65 : x
  2. Step 2: Convert to fraction form
    119,143.48/164,419.17 = 65,429.65/x
  3. Step 3: Cross multiply
    119,143.48x = 164,419.17 × 65,429.65
  4. Step 4: Simplify right side
    119,143.48x = 10,757,888,244.12
  5. Step 5: Solve for x
    x = 10,757,888,244.12/119,143.48
  6. Step 6: Final answer
    x = 90,293.55

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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.