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Finding the Fourth Proportional to 57,208, 85,711.92 and 39,688.96

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Solution

The fourth proportional to 57,208, 85,711.92 and 39,688.96 is: 59,464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,208 : 85,711.92 = 39,688.96 : x
  2. Step 2: Convert to fraction form
    57,208/85,711.92 = 39,688.96/x
  3. Step 3: Cross multiply
    57,208x = 85,711.92 × 39,688.96
  4. Step 4: Simplify right side
    57,208x = 3,401,816,964.40
  5. Step 5: Solve for x
    x = 3,401,816,964.40/57,208
  6. Step 6: Final answer
    x = 59,464.01

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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.