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Finding the Fourth Proportional to 64,251, 96,312.50 and 30,961.62

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Solution

The fourth proportional to 64,251, 96,312.50 and 30,961.62 is: 46,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,251 : 96,312.50 = 30,961.62 : x
  2. Step 2: Convert to fraction form
    64,251/96,312.50 = 30,961.62/x
  3. Step 3: Cross multiply
    64,251x = 96,312.50 × 30,961.62
  4. Step 4: Simplify right side
    64,251x = 2,981,991,026.25
  5. Step 5: Solve for x
    x = 2,981,991,026.25/64,251
  6. Step 6: Final answer
    x = 46,411.59

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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.