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Finding the Fourth Proportional to 84,387, 126,497.70 and 46,965

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Solution

The fourth proportional to 84,387, 126,497.70 and 46,965 is: 70,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,387 : 126,497.70 = 46,965 : x
  2. Step 2: Convert to fraction form
    84,387/126,497.70 = 46,965/x
  3. Step 3: Cross multiply
    84,387x = 126,497.70 × 46,965
  4. Step 4: Simplify right side
    84,387x = 5,940,964,480.50
  5. Step 5: Solve for x
    x = 5,940,964,480.50/84,387
  6. Step 6: Final answer
    x = 70,401.42

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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.