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Finding the Fourth Proportional to 57,207.72, 85,802.36 and 15,645

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Solution

The fourth proportional to 57,207.72, 85,802.36 and 15,645 is: 23,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,207.72 : 85,802.36 = 15,645 : x
  2. Step 2: Convert to fraction form
    57,207.72/85,802.36 = 15,645/x
  3. Step 3: Cross multiply
    57,207.72x = 85,802.36 × 15,645
  4. Step 4: Simplify right side
    57,207.72x = 1,342,377,922.20
  5. Step 5: Solve for x
    x = 1,342,377,922.20/57,207.72
  6. Step 6: Final answer
    x = 23,464.98

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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.