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Finding the Fourth Proportional to 65,966.87, 91,018.42 and 39,115.98

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Solution

The fourth proportional to 65,966.87, 91,018.42 and 39,115.98 is: 53,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,966.87 : 91,018.42 = 39,115.98 : x
  2. Step 2: Convert to fraction form
    65,966.87/91,018.42 = 39,115.98/x
  3. Step 3: Cross multiply
    65,966.87x = 91,018.42 × 39,115.98
  4. Step 4: Simplify right side
    65,966.87x = 3,560,274,696.35
  5. Step 5: Solve for x
    x = 3,560,274,696.35/65,966.87
  6. Step 6: Final answer
    x = 53,970.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.