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Finding the Fourth Proportional to 159,102.55, 238,648.42 and 40,775.05

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Solution

The fourth proportional to 159,102.55, 238,648.42 and 40,775.05 is: 61,161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,102.55 : 238,648.42 = 40,775.05 : x
  2. Step 2: Convert to fraction form
    159,102.55/238,648.42 = 40,775.05/x
  3. Step 3: Cross multiply
    159,102.55x = 238,648.42 × 40,775.05
  4. Step 4: Simplify right side
    159,102.55x = 9,730,901,257.92
  5. Step 5: Solve for x
    x = 9,730,901,257.92/159,102.55
  6. Step 6: Final answer
    x = 61,161.19

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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.