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Finding the Fourth Proportional to 102,716.78, 154,091.72 and 31,639.40

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Solution

The fourth proportional to 102,716.78, 154,091.72 and 31,639.40 is: 47,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,716.78 : 154,091.72 = 31,639.40 : x
  2. Step 2: Convert to fraction form
    102,716.78/154,091.72 = 31,639.40/x
  3. Step 3: Cross multiply
    102,716.78x = 154,091.72 × 31,639.40
  4. Step 4: Simplify right side
    102,716.78x = 4,875,369,452.25
  5. Step 5: Solve for x
    x = 4,875,369,452.25/102,716.78
  6. Step 6: Final answer
    x = 47,464.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.