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Finding the Fourth Proportional to 151,560, 209,147.99 and 83,579.84

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Solution

The fourth proportional to 151,560, 209,147.99 and 83,579.84 is: 115,337.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,560 : 209,147.99 = 83,579.84 : x
  2. Step 2: Convert to fraction form
    151,560/209,147.99 = 83,579.84/x
  3. Step 3: Cross multiply
    151,560x = 209,147.99 × 83,579.84
  4. Step 4: Simplify right side
    151,560x = 17,480,555,540.52
  5. Step 5: Solve for x
    x = 17,480,555,540.52/151,560
  6. Step 6: Final answer
    x = 115,337.53

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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.