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Finding the Fourth Proportional to 207,854.10, 311,002.65 and 148,020.90

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Solution

The fourth proportional to 207,854.10, 311,002.65 and 148,020.90 is: 221,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,854.10 : 311,002.65 = 148,020.90 : x
  2. Step 2: Convert to fraction form
    207,854.10/311,002.65 = 148,020.90/x
  3. Step 3: Cross multiply
    207,854.10x = 311,002.65 × 148,020.90
  4. Step 4: Simplify right side
    207,854.10x = 46,034,892,155.39
  5. Step 5: Solve for x
    x = 46,034,892,155.39/207,854.10
  6. Step 6: Final answer
    x = 221,476.95

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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.