Home / 65,408.31-97,972.88-31,623.21

Finding the Fourth Proportional to 65,408.31, 97,972.88 and 31,623.21

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Solution

The fourth proportional to 65,408.31, 97,972.88 and 31,623.21 is: 47,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,408.31 : 97,972.88 = 31,623.21 : x
  2. Step 2: Convert to fraction form
    65,408.31/97,972.88 = 31,623.21/x
  3. Step 3: Cross multiply
    65,408.31x = 97,972.88 × 31,623.21
  4. Step 4: Simplify right side
    65,408.31x = 3,098,216,800.43
  5. Step 5: Solve for x
    x = 3,098,216,800.43/65,408.31
  6. Step 6: Final answer
    x = 47,367.33

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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.