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Finding the Fourth Proportional to 87,095.76, 120,249.72 and 77,647.92

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Solution

The fourth proportional to 87,095.76, 120,249.72 and 77,647.92 is: 107,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,095.76 : 120,249.72 = 77,647.92 : x
  2. Step 2: Convert to fraction form
    87,095.76/120,249.72 = 77,647.92/x
  3. Step 3: Cross multiply
    87,095.76x = 120,249.72 × 77,647.92
  4. Step 4: Simplify right side
    87,095.76x = 9,337,140,638.58
  5. Step 5: Solve for x
    x = 9,337,140,638.58/87,095.76
  6. Step 6: Final answer
    x = 107,205.46

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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.