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Finding the Fourth Proportional to 64,794, 96,971.54 and 39,849.86

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Solution

The fourth proportional to 64,794, 96,971.54 and 39,849.86 is: 59,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,794 : 96,971.54 = 39,849.86 : x
  2. Step 2: Convert to fraction form
    64,794/96,971.54 = 39,849.86/x
  3. Step 3: Cross multiply
    64,794x = 96,971.54 × 39,849.86
  4. Step 4: Simplify right side
    64,794x = 3,864,302,292.98
  5. Step 5: Solve for x
    x = 3,864,302,292.98/64,794
  6. Step 6: Final answer
    x = 59,639.82

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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.