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Finding the Fourth Proportional to 119,108.52, 164,371.80 and 65,395.80

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Solution

The fourth proportional to 119,108.52, 164,371.80 and 65,395.80 is: 90,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,108.52 : 164,371.80 = 65,395.80 : x
  2. Step 2: Convert to fraction form
    119,108.52/164,371.80 = 65,395.80/x
  3. Step 3: Cross multiply
    119,108.52x = 164,371.80 × 65,395.80
  4. Step 4: Simplify right side
    119,108.52x = 10,749,225,358.44
  5. Step 5: Solve for x
    x = 10,749,225,358.44/119,108.52
  6. Step 6: Final answer
    x = 90,247.33

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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.