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Finding the Fourth Proportional to 111,734.64, 154,193.80 and 61,433.64

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Solution

The fourth proportional to 111,734.64, 154,193.80 and 61,433.64 is: 84,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,734.64 : 154,193.80 = 61,433.64 : x
  2. Step 2: Convert to fraction form
    111,734.64/154,193.80 = 61,433.64/x
  3. Step 3: Cross multiply
    111,734.64x = 154,193.80 × 61,433.64
  4. Step 4: Simplify right side
    111,734.64x = 9,472,686,399.43
  5. Step 5: Solve for x
    x = 9,472,686,399.43/111,734.64
  6. Step 6: Final answer
    x = 84,778.42

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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.