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Finding the Fourth Proportional to 257,785.65, 386,819.42 and 100,020.33

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Solution

The fourth proportional to 257,785.65, 386,819.42 and 100,020.33 is: 150,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,785.65 : 386,819.42 = 100,020.33 : x
  2. Step 2: Convert to fraction form
    257,785.65/386,819.42 = 100,020.33/x
  3. Step 3: Cross multiply
    257,785.65x = 386,819.42 × 100,020.33
  4. Step 4: Simplify right side
    257,785.65x = 38,689,805,538.71
  5. Step 5: Solve for x
    x = 38,689,805,538.71/257,785.65
  6. Step 6: Final answer
    x = 150,085.18

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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.