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Finding the Fourth Proportional to 70,830.34, 106,257.04 and 20,915.48

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Solution

The fourth proportional to 70,830.34, 106,257.04 and 20,915.48 is: 31,376.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,830.34 : 106,257.04 = 20,915.48 : x
  2. Step 2: Convert to fraction form
    70,830.34/106,257.04 = 20,915.48/x
  3. Step 3: Cross multiply
    70,830.34x = 106,257.04 × 20,915.48
  4. Step 4: Simplify right side
    70,830.34x = 2,222,417,208.33
  5. Step 5: Solve for x
    x = 2,222,417,208.33/70,830.34
  6. Step 6: Final answer
    x = 31,376.63

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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.