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Finding the Fourth Proportional to 66,348, 91,560.24 and 39,852

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Solution

The fourth proportional to 66,348, 91,560.24 and 39,852 is: 54,995.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,348 : 91,560.24 = 39,852 : x
  2. Step 2: Convert to fraction form
    66,348/91,560.24 = 39,852/x
  3. Step 3: Cross multiply
    66,348x = 91,560.24 × 39,852
  4. Step 4: Simplify right side
    66,348x = 3,648,858,684.48
  5. Step 5: Solve for x
    x = 3,648,858,684.48/66,348
  6. Step 6: Final answer
    x = 54,995.76

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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.