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Finding the Fourth Proportional to 85,954.61, 128,982.12 and 36,030.87

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Solution

The fourth proportional to 85,954.61, 128,982.12 and 36,030.87 is: 54,067.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,954.61 : 128,982.12 = 36,030.87 : x
  2. Step 2: Convert to fraction form
    85,954.61/128,982.12 = 36,030.87/x
  3. Step 3: Cross multiply
    85,954.61x = 128,982.12 × 36,030.87
  4. Step 4: Simplify right side
    85,954.61x = 4,647,337,817.89
  5. Step 5: Solve for x
    x = 4,647,337,817.89/85,954.61
  6. Step 6: Final answer
    x = 54,067.35

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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.