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Finding the Fourth Proportional to 209,670.92, 314,226.12 and 76,425.92

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Solution

The fourth proportional to 209,670.92, 314,226.12 and 76,425.92 is: 114,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,670.92 : 314,226.12 = 76,425.92 : x
  2. Step 2: Convert to fraction form
    209,670.92/314,226.12 = 76,425.92/x
  3. Step 3: Cross multiply
    209,670.92x = 314,226.12 × 76,425.92
  4. Step 4: Simplify right side
    209,670.92x = 24,015,020,309.03
  5. Step 5: Solve for x
    x = 24,015,020,309.03/209,670.92
  6. Step 6: Final answer
    x = 114,536.72

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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.