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Finding the Fourth Proportional to 209,972.70, 314,959.05 and 76,808.70

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Solution

The fourth proportional to 209,972.70, 314,959.05 and 76,808.70 is: 115,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,972.70 : 314,959.05 = 76,808.70 : x
  2. Step 2: Convert to fraction form
    209,972.70/314,959.05 = 76,808.70/x
  3. Step 3: Cross multiply
    209,972.70x = 314,959.05 × 76,808.70
  4. Step 4: Simplify right side
    209,972.70x = 24,191,595,183.74
  5. Step 5: Solve for x
    x = 24,191,595,183.74/209,972.70
  6. Step 6: Final answer
    x = 115,213.05

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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.