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Finding the Fourth Proportional to 57,284.46, 85,989.51 and 45,513.87

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Solution

The fourth proportional to 57,284.46, 85,989.51 and 45,513.87 is: 68,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,284.46 : 85,989.51 = 45,513.87 : x
  2. Step 2: Convert to fraction form
    57,284.46/85,989.51 = 45,513.87/x
  3. Step 3: Cross multiply
    57,284.46x = 85,989.51 × 45,513.87
  4. Step 4: Simplify right side
    57,284.46x = 3,913,715,379.50
  5. Step 5: Solve for x
    x = 3,913,715,379.50/57,284.46
  6. Step 6: Final answer
    x = 68,320.72

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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.