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Finding the Fourth Proportional to 151,679.20, 209,315.91 and 83,696.80

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Solution

The fourth proportional to 151,679.20, 209,315.91 and 83,696.80 is: 115,500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,679.20 : 209,315.91 = 83,696.80 : x
  2. Step 2: Convert to fraction form
    151,679.20/209,315.91 = 83,696.80/x
  3. Step 3: Cross multiply
    151,679.20x = 209,315.91 × 83,696.80
  4. Step 4: Simplify right side
    151,679.20x = 17,519,071,856.09
  5. Step 5: Solve for x
    x = 17,519,071,856.09/151,679.20
  6. Step 6: Final answer
    x = 115,500.82

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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.