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Finding the Fourth Proportional to 86,353.98, 129,548.43 and 36,434.20

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Solution

The fourth proportional to 86,353.98, 129,548.43 and 36,434.20 is: 54,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,353.98 : 129,548.43 = 36,434.20 : x
  2. Step 2: Convert to fraction form
    86,353.98/129,548.43 = 36,434.20/x
  3. Step 3: Cross multiply
    86,353.98x = 129,548.43 × 36,434.20
  4. Step 4: Simplify right side
    86,353.98x = 4,719,993,408.31
  5. Step 5: Solve for x
    x = 4,719,993,408.31/86,353.98
  6. Step 6: Final answer
    x = 54,658.67

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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.