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Finding the Fourth Proportional to 70,978.32, 106,469.64 and 26,596.26

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Solution

The fourth proportional to 70,978.32, 106,469.64 and 26,596.26 is: 39,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,978.32 : 106,469.64 = 26,596.26 : x
  2. Step 2: Convert to fraction form
    70,978.32/106,469.64 = 26,596.26/x
  3. Step 3: Cross multiply
    70,978.32x = 106,469.64 × 26,596.26
  4. Step 4: Simplify right side
    70,978.32x = 2,831,694,227.55
  5. Step 5: Solve for x
    x = 2,831,694,227.55/70,978.32
  6. Step 6: Final answer
    x = 39,895.20

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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.