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Finding the Fourth Proportional to 70,926, 106,406.28 and 21,678

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Solution

The fourth proportional to 70,926, 106,406.28 and 21,678 is: 32,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,926 : 106,406.28 = 21,678 : x
  2. Step 2: Convert to fraction form
    70,926/106,406.28 = 21,678/x
  3. Step 3: Cross multiply
    70,926x = 106,406.28 × 21,678
  4. Step 4: Simplify right side
    70,926x = 2,306,675,337.84
  5. Step 5: Solve for x
    x = 2,306,675,337.84/70,926
  6. Step 6: Final answer
    x = 32,522.28

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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.