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Finding the Fourth Proportional to 223,679.72, 308,688.18 and 138,824.12

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Solution

The fourth proportional to 223,679.72, 308,688.18 and 138,824.12 is: 191,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,679.72 : 308,688.18 = 138,824.12 : x
  2. Step 2: Convert to fraction form
    223,679.72/308,688.18 = 138,824.12/x
  3. Step 3: Cross multiply
    223,679.72x = 308,688.18 × 138,824.12
  4. Step 4: Simplify right side
    223,679.72x = 42,853,364,942.90
  5. Step 5: Solve for x
    x = 42,853,364,942.90/223,679.72
  6. Step 6: Final answer
    x = 191,583.60

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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.