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Finding the Fourth Proportional to 70,915.84, 106,369.92 and 21,664

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Solution

The fourth proportional to 70,915.84, 106,369.92 and 21,664 is: 32,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,915.84 : 106,369.92 = 21,664 : x
  2. Step 2: Convert to fraction form
    70,915.84/106,369.92 = 21,664/x
  3. Step 3: Cross multiply
    70,915.84x = 106,369.92 × 21,664
  4. Step 4: Simplify right side
    70,915.84x = 2,304,397,946.88
  5. Step 5: Solve for x
    x = 2,304,397,946.88/70,915.84
  6. Step 6: Final answer
    x = 32,494.83

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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.