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Finding the Fourth Proportional to 87,408, 120,624.48 and 47,664

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Solution

The fourth proportional to 87,408, 120,624.48 and 47,664 is: 65,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,408 : 120,624.48 = 47,664 : x
  2. Step 2: Convert to fraction form
    87,408/120,624.48 = 47,664/x
  3. Step 3: Cross multiply
    87,408x = 120,624.48 × 47,664
  4. Step 4: Simplify right side
    87,408x = 5,749,445,214.72
  5. Step 5: Solve for x
    x = 5,749,445,214.72/87,408
  6. Step 6: Final answer
    x = 65,777.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.