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Finding the Fourth Proportional to 85,898.68, 128,898.24 and 35,974.56

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Solution

The fourth proportional to 85,898.68, 128,898.24 and 35,974.56 is: 53,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,898.68 : 128,898.24 = 35,974.56 : x
  2. Step 2: Convert to fraction form
    85,898.68/128,898.24 = 35,974.56/x
  3. Step 3: Cross multiply
    85,898.68x = 128,898.24 × 35,974.56
  4. Step 4: Simplify right side
    85,898.68x = 4,637,057,468.77
  5. Step 5: Solve for x
    x = 4,637,057,468.77/85,898.68
  6. Step 6: Final answer
    x = 53,982.87

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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.