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Finding the Fourth Proportional to 119,138.92, 164,412.85 and 65,425.06

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Solution

The fourth proportional to 119,138.92, 164,412.85 and 65,425.06 is: 90,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,138.92 : 164,412.85 = 65,425.06 : x
  2. Step 2: Convert to fraction form
    119,138.92/164,412.85 = 65,425.06/x
  3. Step 3: Cross multiply
    119,138.92x = 164,412.85 × 65,425.06
  4. Step 4: Simplify right side
    119,138.92x = 10,756,720,412.46
  5. Step 5: Solve for x
    x = 10,756,720,412.46/119,138.92
  6. Step 6: Final answer
    x = 90,287.21

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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.