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Finding the Fourth Proportional to 151,951.75, 209,693.42 and 84,883.75

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Solution

The fourth proportional to 151,951.75, 209,693.42 and 84,883.75 is: 117,139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,951.75 : 209,693.42 = 84,883.75 : x
  2. Step 2: Convert to fraction form
    151,951.75/209,693.42 = 84,883.75/x
  3. Step 3: Cross multiply
    151,951.75x = 209,693.42 × 84,883.75
  4. Step 4: Simplify right side
    151,951.75x = 17,799,563,839.93
  5. Step 5: Solve for x
    x = 17,799,563,839.93/151,951.75
  6. Step 6: Final answer
    x = 117,139.58

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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.