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Finding the Fourth Proportional to 66,472, 91,731.36 and 36,664

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Solution

The fourth proportional to 66,472, 91,731.36 and 36,664 is: 50,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,472 : 91,731.36 = 36,664 : x
  2. Step 2: Convert to fraction form
    66,472/91,731.36 = 36,664/x
  3. Step 3: Cross multiply
    66,472x = 91,731.36 × 36,664
  4. Step 4: Simplify right side
    66,472x = 3,363,238,583.04
  5. Step 5: Solve for x
    x = 3,363,238,583.04/66,472
  6. Step 6: Final answer
    x = 50,596.32

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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.