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Finding the Fourth Proportional to 70,778.91, 106,186.75 and 26,406

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Solution

The fourth proportional to 70,778.91, 106,186.75 and 26,406 is: 39,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,778.91 : 106,186.75 = 26,406 : x
  2. Step 2: Convert to fraction form
    70,778.91/106,186.75 = 26,406/x
  3. Step 3: Cross multiply
    70,778.91x = 106,186.75 × 26,406
  4. Step 4: Simplify right side
    70,778.91x = 2,803,967,254.49
  5. Step 5: Solve for x
    x = 2,803,967,254.49/70,778.91
  6. Step 6: Final answer
    x = 39,615.86

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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.