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Finding the Fourth Proportional to 188,859.52, 282,690.24 and 105,500.80

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Solution

The fourth proportional to 188,859.52, 282,690.24 and 105,500.80 is: 157,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,859.52 : 282,690.24 = 105,500.80 : x
  2. Step 2: Convert to fraction form
    188,859.52/282,690.24 = 105,500.80/x
  3. Step 3: Cross multiply
    188,859.52x = 282,690.24 × 105,500.80
  4. Step 4: Simplify right side
    188,859.52x = 29,824,046,472.19
  5. Step 5: Solve for x
    x = 29,824,046,472.19/188,859.52
  6. Step 6: Final answer
    x = 157,916.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.