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Finding the Fourth Proportional to 159,145.78, 238,667.64 and 52,505.83

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Solution

The fourth proportional to 159,145.78, 238,667.64 and 52,505.83 is: 78,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,145.78 : 238,667.64 = 52,505.83 : x
  2. Step 2: Convert to fraction form
    159,145.78/238,667.64 = 52,505.83/x
  3. Step 3: Cross multiply
    159,145.78x = 238,667.64 × 52,505.83
  4. Step 4: Simplify right side
    159,145.78x = 12,531,442,532.34
  5. Step 5: Solve for x
    x = 12,531,442,532.34/159,145.78
  6. Step 6: Final answer
    x = 78,741.91

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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.