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Finding the Fourth Proportional to 141,933, 212,658.48 and 85,654.86

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Solution

The fourth proportional to 141,933, 212,658.48 and 85,654.86 is: 128,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,933 : 212,658.48 = 85,654.86 : x
  2. Step 2: Convert to fraction form
    141,933/212,658.48 = 85,654.86/x
  3. Step 3: Cross multiply
    141,933x = 212,658.48 × 85,654.86
  4. Step 4: Simplify right side
    141,933x = 18,215,232,332.21
  5. Step 5: Solve for x
    x = 18,215,232,332.21/141,933
  6. Step 6: Final answer
    x = 128,336.84

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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.