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Finding the Fourth Proportional to 209,709.92, 314,284.32 and 76,464.80

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Solution

The fourth proportional to 209,709.92, 314,284.32 and 76,464.80 is: 114,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,709.92 : 314,284.32 = 76,464.80 : x
  2. Step 2: Convert to fraction form
    209,709.92/314,284.32 = 76,464.80/x
  3. Step 3: Cross multiply
    209,709.92x = 314,284.32 × 76,464.80
  4. Step 4: Simplify right side
    209,709.92x = 24,031,687,671.94
  5. Step 5: Solve for x
    x = 24,031,687,671.94/209,709.92
  6. Step 6: Final answer
    x = 114,594.90

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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.