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Finding the Fourth Proportional to 257,358.42, 385,942.75 and 88,835.86

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Solution

The fourth proportional to 257,358.42, 385,942.75 and 88,835.86 is: 133,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,358.42 : 385,942.75 = 88,835.86 : x
  2. Step 2: Convert to fraction form
    257,358.42/385,942.75 = 88,835.86/x
  3. Step 3: Cross multiply
    257,358.42x = 385,942.75 × 88,835.86
  4. Step 4: Simplify right side
    257,358.42x = 34,285,556,107.02
  5. Step 5: Solve for x
    x = 34,285,556,107.02/257,358.42
  6. Step 6: Final answer
    x = 133,221.04

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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.