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Finding the Fourth Proportional to 209,565.29, 314,344.87 and 51,793.74

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Solution

The fourth proportional to 209,565.29, 314,344.87 and 51,793.74 is: 77,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,565.29 : 314,344.87 = 51,793.74 : x
  2. Step 2: Convert to fraction form
    209,565.29/314,344.87 = 51,793.74/x
  3. Step 3: Cross multiply
    209,565.29x = 314,344.87 × 51,793.74
  4. Step 4: Simplify right side
    209,565.29x = 16,281,096,337.63
  5. Step 5: Solve for x
    x = 16,281,096,337.63/209,565.29
  6. Step 6: Final answer
    x = 77,689.85

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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.