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Finding the Fourth Proportional to 85,997.76, 128,977.32 and 36,134.16

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Solution

The fourth proportional to 85,997.76, 128,977.32 and 36,134.16 is: 54,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,997.76 : 128,977.32 = 36,134.16 : x
  2. Step 2: Convert to fraction form
    85,997.76/128,977.32 = 36,134.16/x
  3. Step 3: Cross multiply
    85,997.76x = 128,977.32 × 36,134.16
  4. Step 4: Simplify right side
    85,997.76x = 4,660,487,117.25
  5. Step 5: Solve for x
    x = 4,660,487,117.25/85,997.76
  6. Step 6: Final answer
    x = 54,193.12

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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.