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Finding the Fourth Proportional to 87,095.16, 120,193.74 and 61,647

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Solution

The fourth proportional to 87,095.16, 120,193.74 and 61,647 is: 85,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,095.16 : 120,193.74 = 61,647 : x
  2. Step 2: Convert to fraction form
    87,095.16/120,193.74 = 61,647/x
  3. Step 3: Cross multiply
    87,095.16x = 120,193.74 × 61,647
  4. Step 4: Simplify right side
    87,095.16x = 7,409,583,489.78
  5. Step 5: Solve for x
    x = 7,409,583,489.78/87,095.16
  6. Step 6: Final answer
    x = 85,074.57

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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.