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Finding the Fourth Proportional to 57,807, 86,728.01 and 40,972.59

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Solution

The fourth proportional to 57,807, 86,728.01 and 40,972.59 is: 61,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,807 : 86,728.01 = 40,972.59 : x
  2. Step 2: Convert to fraction form
    57,807/86,728.01 = 40,972.59/x
  3. Step 3: Cross multiply
    57,807x = 86,728.01 × 40,972.59
  4. Step 4: Simplify right side
    57,807x = 3,553,470,990.38
  5. Step 5: Solve for x
    x = 3,553,470,990.38/57,807
  6. Step 6: Final answer
    x = 61,471.29

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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.