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Finding the Fourth Proportional to 102,874.40, 154,318.32 and 39,724.64

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Solution

The fourth proportional to 102,874.40, 154,318.32 and 39,724.64 is: 59,589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,874.40 : 154,318.32 = 39,724.64 : x
  2. Step 2: Convert to fraction form
    102,874.40/154,318.32 = 39,724.64/x
  3. Step 3: Cross multiply
    102,874.40x = 154,318.32 × 39,724.64
  4. Step 4: Simplify right side
    102,874.40x = 6,130,239,707.40
  5. Step 5: Solve for x
    x = 6,130,239,707.40/102,874.40
  6. Step 6: Final answer
    x = 59,589.55

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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.