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Finding the Fourth Proportional to 87,408.40, 130,978.20 and 65,117.20

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Solution

The fourth proportional to 87,408.40, 130,978.20 and 65,117.20 is: 97,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,408.40 : 130,978.20 = 65,117.20 : x
  2. Step 2: Convert to fraction form
    87,408.40/130,978.20 = 65,117.20/x
  3. Step 3: Cross multiply
    87,408.40x = 130,978.20 × 65,117.20
  4. Step 4: Simplify right side
    87,408.40x = 8,528,933,645.04
  5. Step 5: Solve for x
    x = 8,528,933,645.04/87,408.40
  6. Step 6: Final answer
    x = 97,575.68

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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.