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Finding the Fourth Proportional to 256,633.42, 384,931.68 and 79,121.92

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Solution

The fourth proportional to 256,633.42, 384,931.68 and 79,121.92 is: 118,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,633.42 : 384,931.68 = 79,121.92 : x
  2. Step 2: Convert to fraction form
    256,633.42/384,931.68 = 79,121.92/x
  3. Step 3: Cross multiply
    256,633.42x = 384,931.68 × 79,121.92
  4. Step 4: Simplify right side
    256,633.42x = 30,456,533,590.43
  5. Step 5: Solve for x
    x = 30,456,533,590.43/256,633.42
  6. Step 6: Final answer
    x = 118,677.19

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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.