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Finding the Fourth Proportional to 209,766.80, 314,695.77 and 76,646.86

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Solution

The fourth proportional to 209,766.80, 314,695.77 and 76,646.86 is: 114,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,766.80 : 314,695.77 = 76,646.86 : x
  2. Step 2: Convert to fraction form
    209,766.80/314,695.77 = 76,646.86/x
  3. Step 3: Cross multiply
    209,766.80x = 314,695.77 × 76,646.86
  4. Step 4: Simplify right side
    209,766.80x = 24,120,441,052.30
  5. Step 5: Solve for x
    x = 24,120,441,052.30/209,766.80
  6. Step 6: Final answer
    x = 114,986.93

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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.