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Finding the Fourth Proportional to 109,286.64, 150,814.08 and 61,540.56

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Solution

The fourth proportional to 109,286.64, 150,814.08 and 61,540.56 is: 84,925.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,286.64 : 150,814.08 = 61,540.56 : x
  2. Step 2: Convert to fraction form
    109,286.64/150,814.08 = 61,540.56/x
  3. Step 3: Cross multiply
    109,286.64x = 150,814.08 × 61,540.56
  4. Step 4: Simplify right side
    109,286.64x = 9,281,182,939.08
  5. Step 5: Solve for x
    x = 9,281,182,939.08/109,286.64
  6. Step 6: Final answer
    x = 84,925.14

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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.