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Finding the Fourth Proportional to 221,847.86, 306,150.05 and 121,245.86

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Solution

The fourth proportional to 221,847.86, 306,150.05 and 121,245.86 is: 167,319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,847.86 : 306,150.05 = 121,245.86 : x
  2. Step 2: Convert to fraction form
    221,847.86/306,150.05 = 121,245.86/x
  3. Step 3: Cross multiply
    221,847.86x = 306,150.05 × 121,245.86
  4. Step 4: Simplify right side
    221,847.86x = 37,119,426,101.29
  5. Step 5: Solve for x
    x = 37,119,426,101.29/221,847.86
  6. Step 6: Final answer
    x = 167,319.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.