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Finding the Fourth Proportional to 65,970, 91,038.92 and 39,474

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Solution

The fourth proportional to 65,970, 91,038.92 and 39,474 is: 54,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,970 : 91,038.92 = 39,474 : x
  2. Step 2: Convert to fraction form
    65,970/91,038.92 = 39,474/x
  3. Step 3: Cross multiply
    65,970x = 91,038.92 × 39,474
  4. Step 4: Simplify right side
    65,970x = 3,593,670,328.08
  5. Step 5: Solve for x
    x = 3,593,670,328.08/65,970
  6. Step 6: Final answer
    x = 54,474.31

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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.