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Finding the Fourth Proportional to 209,983.80, 314,975.70 and 69,742.43

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Solution

The fourth proportional to 209,983.80, 314,975.70 and 69,742.43 is: 104,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,983.80 : 314,975.70 = 69,742.43 : x
  2. Step 2: Convert to fraction form
    209,983.80/314,975.70 = 69,742.43/x
  3. Step 3: Cross multiply
    209,983.80x = 314,975.70 × 69,742.43
  4. Step 4: Simplify right side
    209,983.80x = 21,967,170,708.95
  5. Step 5: Solve for x
    x = 21,967,170,708.95/209,983.80
  6. Step 6: Final answer
    x = 104,613.65

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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.