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Finding the Fourth Proportional to 159,138.77, 238,690.31 and 40,812.89

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Solution

The fourth proportional to 159,138.77, 238,690.31 and 40,812.89 is: 61,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,138.77 : 238,690.31 = 40,812.89 : x
  2. Step 2: Convert to fraction form
    159,138.77/238,690.31 = 40,812.89/x
  3. Step 3: Cross multiply
    159,138.77x = 238,690.31 × 40,812.89
  4. Step 4: Simplify right side
    159,138.77x = 9,741,639,968.58
  5. Step 5: Solve for x
    x = 9,741,639,968.58/159,138.77
  6. Step 6: Final answer
    x = 61,214.75

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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.