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Finding the Fourth Proportional to 119,448.43, 164,834.70 and 65,728.42

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Solution

The fourth proportional to 119,448.43, 164,834.70 and 65,728.42 is: 90,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,448.43 : 164,834.70 = 65,728.42 : x
  2. Step 2: Convert to fraction form
    119,448.43/164,834.70 = 65,728.42/x
  3. Step 3: Cross multiply
    119,448.43x = 164,834.70 × 65,728.42
  4. Step 4: Simplify right side
    119,448.43x = 10,834,324,392.17
  5. Step 5: Solve for x
    x = 10,834,324,392.17/119,448.43
  6. Step 6: Final answer
    x = 90,702.95

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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.