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Finding the Fourth Proportional to 209,169.83, 313,621.70 and 96,699.71

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Solution

The fourth proportional to 209,169.83, 313,621.70 and 96,699.71 is: 144,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,169.83 : 313,621.70 = 96,699.71 : x
  2. Step 2: Convert to fraction form
    209,169.83/313,621.70 = 96,699.71/x
  3. Step 3: Cross multiply
    209,169.83x = 313,621.70 × 96,699.71
  4. Step 4: Simplify right side
    209,169.83x = 30,327,125,388.10
  5. Step 5: Solve for x
    x = 30,327,125,388.10/209,169.83
  6. Step 6: Final answer
    x = 144,988.05

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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.