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Finding the Fourth Proportional to 86,408.40, 129,626.56 and 36,496

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Solution

The fourth proportional to 86,408.40, 129,626.56 and 36,496 is: 54,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,408.40 : 129,626.56 = 36,496 : x
  2. Step 2: Convert to fraction form
    86,408.40/129,626.56 = 36,496/x
  3. Step 3: Cross multiply
    86,408.40x = 129,626.56 × 36,496
  4. Step 4: Simplify right side
    86,408.40x = 4,730,850,933.76
  5. Step 5: Solve for x
    x = 4,730,850,933.76/86,408.40
  6. Step 6: Final answer
    x = 54,749.90

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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.