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Finding the Fourth Proportional to 57,440, 86,155.02 and 19,990.40

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Solution

The fourth proportional to 57,440, 86,155.02 and 19,990.40 is: 29,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,440 : 86,155.02 = 19,990.40 : x
  2. Step 2: Convert to fraction form
    57,440/86,155.02 = 19,990.40/x
  3. Step 3: Cross multiply
    57,440x = 86,155.02 × 19,990.40
  4. Step 4: Simplify right side
    57,440x = 1,722,273,311.81
  5. Step 5: Solve for x
    x = 1,722,273,311.81/57,440
  6. Step 6: Final answer
    x = 29,983.87

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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.