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Finding the Fourth Proportional to 188,877.29, 260,823.85 and 119,989.00

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Solution

The fourth proportional to 188,877.29, 260,823.85 and 119,989.00 is: 165,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,877.29 : 260,823.85 = 119,989.00 : x
  2. Step 2: Convert to fraction form
    188,877.29/260,823.85 = 119,989.00/x
  3. Step 3: Cross multiply
    188,877.29x = 260,823.85 × 119,989.00
  4. Step 4: Simplify right side
    188,877.29x = 31,295,991,496.57
  5. Step 5: Solve for x
    x = 31,295,991,496.57/188,877.29
  6. Step 6: Final answer
    x = 165,694.83

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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.