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Finding the Fourth Proportional to 119,033, 164,265.08 and 65,318.91

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Solution

The fourth proportional to 119,033, 164,265.08 and 65,318.91 is: 90,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,033 : 164,265.08 = 65,318.91 : x
  2. Step 2: Convert to fraction form
    119,033/164,265.08 = 65,318.91/x
  3. Step 3: Cross multiply
    119,033x = 164,265.08 × 65,318.91
  4. Step 4: Simplify right side
    119,033x = 10,729,615,976.66
  5. Step 5: Solve for x
    x = 10,729,615,976.66/119,033
  6. Step 6: Final answer
    x = 90,139.84

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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.