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Finding the Fourth Proportional to 209,978.32, 314,920.83 and 60,217.96

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Solution

The fourth proportional to 209,978.32, 314,920.83 and 60,217.96 is: 90,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,978.32 : 314,920.83 = 60,217.96 : x
  2. Step 2: Convert to fraction form
    209,978.32/314,920.83 = 60,217.96/x
  3. Step 3: Cross multiply
    209,978.32x = 314,920.83 × 60,217.96
  4. Step 4: Simplify right side
    209,978.32x = 18,963,889,944.11
  5. Step 5: Solve for x
    x = 18,963,889,944.11/209,978.32
  6. Step 6: Final answer
    x = 90,313.56

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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.