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Finding the Fourth Proportional to 91,968, 137,952 and 26,304

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Solution

The fourth proportional to 91,968, 137,952 and 26,304 is: 39,456

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,968 : 137,952 = 26,304 : x
  2. Step 2: Convert to fraction form
    91,968/137,952 = 26,304/x
  3. Step 3: Cross multiply
    91,968x = 137,952 × 26,304
  4. Step 4: Simplify right side
    91,968x = 3,628,689,408
  5. Step 5: Solve for x
    x = 3,628,689,408/91,968
  6. Step 6: Final answer
    x = 39,456

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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.