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Finding the Fourth Proportional to 209,980.05, 314,747.28 and 103,213.44

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Solution

The fourth proportional to 209,980.05, 314,747.28 and 103,213.44 is: 154,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,980.05 : 314,747.28 = 103,213.44 : x
  2. Step 2: Convert to fraction form
    209,980.05/314,747.28 = 103,213.44/x
  3. Step 3: Cross multiply
    209,980.05x = 314,747.28 × 103,213.44
  4. Step 4: Simplify right side
    209,980.05x = 32,486,149,499.44
  5. Step 5: Solve for x
    x = 32,486,149,499.44/209,980.05
  6. Step 6: Final answer
    x = 154,710.65

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1.5x scale

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.