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Finding the Fourth Proportional to 153,764, 212,194.32 and 83,108

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Solution

The fourth proportional to 153,764, 212,194.32 and 83,108 is: 114,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,764 : 212,194.32 = 83,108 : x
  2. Step 2: Convert to fraction form
    153,764/212,194.32 = 83,108/x
  3. Step 3: Cross multiply
    153,764x = 212,194.32 × 83,108
  4. Step 4: Simplify right side
    153,764x = 17,635,045,546.56
  5. Step 5: Solve for x
    x = 17,635,045,546.56/153,764
  6. Step 6: Final answer
    x = 114,689.04

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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.