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Finding the Fourth Proportional to 230,687.54, 318,150 and 150,085.65

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Solution

The fourth proportional to 230,687.54, 318,150 and 150,085.65 is: 206,988.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,687.54 : 318,150 = 150,085.65 : x
  2. Step 2: Convert to fraction form
    230,687.54/318,150 = 150,085.65/x
  3. Step 3: Cross multiply
    230,687.54x = 318,150 × 150,085.65
  4. Step 4: Simplify right side
    230,687.54x = 47,749,749,547.50
  5. Step 5: Solve for x
    x = 47,749,749,547.50/230,687.54
  6. Step 6: Final answer
    x = 206,988.86

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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.