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Finding the Fourth Proportional to 221,842.32, 306,142.38 and 121,240.32

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Solution

The fourth proportional to 221,842.32, 306,142.38 and 121,240.32 is: 167,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,842.32 : 306,142.38 = 121,240.32 : x
  2. Step 2: Convert to fraction form
    221,842.32/306,142.38 = 121,240.32/x
  3. Step 3: Cross multiply
    221,842.32x = 306,142.38 × 121,240.32
  4. Step 4: Simplify right side
    221,842.32x = 37,116,800,116.76
  5. Step 5: Solve for x
    x = 37,116,800,116.76/221,842.32
  6. Step 6: Final answer
    x = 167,311.63

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1.5x scale

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.