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Finding the Fourth Proportional to 157,205.69, 216,947.75 and 85,589.64

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Solution

The fourth proportional to 157,205.69, 216,947.75 and 85,589.64 is: 118,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,205.69 : 216,947.75 = 85,589.64 : x
  2. Step 2: Convert to fraction form
    157,205.69/216,947.75 = 85,589.64/x
  3. Step 3: Cross multiply
    157,205.69x = 216,947.75 × 85,589.64
  4. Step 4: Simplify right side
    157,205.69x = 18,568,479,821.31
  5. Step 5: Solve for x
    x = 18,568,479,821.31/157,205.69
  6. Step 6: Final answer
    x = 118,115.83

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1.5x scale

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.