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Finding the Fourth Proportional to 209,806.92, 314,430.12 and 76,561.92

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Solution

The fourth proportional to 209,806.92, 314,430.12 and 76,561.92 is: 114,740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,806.92 : 314,430.12 = 76,561.92 : x
  2. Step 2: Convert to fraction form
    209,806.92/314,430.12 = 76,561.92/x
  3. Step 3: Cross multiply
    209,806.92x = 314,430.12 × 76,561.92
  4. Step 4: Simplify right side
    209,806.92x = 24,073,373,693.03
  5. Step 5: Solve for x
    x = 24,073,373,693.03/209,806.92
  6. Step 6: Final answer
    x = 114,740.61

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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.