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Finding the Fourth Proportional to 209,363.05, 314,097.19 and 67,221.01

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Solution

The fourth proportional to 209,363.05, 314,097.19 and 67,221.01 is: 100,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,363.05 : 314,097.19 = 67,221.01 : x
  2. Step 2: Convert to fraction form
    209,363.05/314,097.19 = 67,221.01/x
  3. Step 3: Cross multiply
    209,363.05x = 314,097.19 × 67,221.01
  4. Step 4: Simplify right side
    209,363.05x = 21,113,930,349.96
  5. Step 5: Solve for x
    x = 21,113,930,349.96/209,363.05
  6. Step 6: Final answer
    x = 100,848.41

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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.