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Finding the Fourth Proportional to 70,408.40, 105,575.16 and 26,023.76

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Solution

The fourth proportional to 70,408.40, 105,575.16 and 26,023.76 is: 39,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,408.40 : 105,575.16 = 26,023.76 : x
  2. Step 2: Convert to fraction form
    70,408.40/105,575.16 = 26,023.76/x
  3. Step 3: Cross multiply
    70,408.40x = 105,575.16 × 26,023.76
  4. Step 4: Simplify right side
    70,408.40x = 2,747,462,625.80
  5. Step 5: Solve for x
    x = 2,747,462,625.80/70,408.40
  6. Step 6: Final answer
    x = 39,021.80

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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.