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Finding the Fourth Proportional to 91,966, 137,949 and 26,302

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Solution

The fourth proportional to 91,966, 137,949 and 26,302 is: 39,453

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,966 : 137,949 = 26,302 : x
  2. Step 2: Convert to fraction form
    91,966/137,949 = 26,302/x
  3. Step 3: Cross multiply
    91,966x = 137,949 × 26,302
  4. Step 4: Simplify right side
    91,966x = 3,628,334,598
  5. Step 5: Solve for x
    x = 3,628,334,598/91,966
  6. Step 6: Final answer
    x = 39,453

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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.