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Finding the Fourth Proportional to 85,835.78, 128,753.73 and 26,671.49

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Solution

The fourth proportional to 85,835.78, 128,753.73 and 26,671.49 is: 40,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,835.78 : 128,753.73 = 26,671.49 : x
  2. Step 2: Convert to fraction form
    85,835.78/128,753.73 = 26,671.49/x
  3. Step 3: Cross multiply
    85,835.78x = 128,753.73 × 26,671.49
  4. Step 4: Simplify right side
    85,835.78x = 3,434,053,822.16
  5. Step 5: Solve for x
    x = 3,434,053,822.16/85,835.78
  6. Step 6: Final answer
    x = 40,007.25

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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.