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Finding the Fourth Proportional to 57,647.04, 86,497.44 and 56,715.20

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Solution

The fourth proportional to 57,647.04, 86,497.44 and 56,715.20 is: 85,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,647.04 : 86,497.44 = 56,715.20 : x
  2. Step 2: Convert to fraction form
    57,647.04/86,497.44 = 56,715.20/x
  3. Step 3: Cross multiply
    57,647.04x = 86,497.44 × 56,715.20
  4. Step 4: Simplify right side
    57,647.04x = 4,905,719,609.09
  5. Step 5: Solve for x
    x = 4,905,719,609.09/57,647.04
  6. Step 6: Final answer
    x = 85,099.25

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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.