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Finding the Fourth Proportional to 52,489, 72,564.42 and 50,285.80

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Solution

The fourth proportional to 52,489, 72,564.42 and 50,285.80 is: 69,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,489 : 72,564.42 = 50,285.80 : x
  2. Step 2: Convert to fraction form
    52,489/72,564.42 = 50,285.80/x
  3. Step 3: Cross multiply
    52,489x = 72,564.42 × 50,285.80
  4. Step 4: Simplify right side
    52,489x = 3,648,959,911.24
  5. Step 5: Solve for x
    x = 3,648,959,911.24/52,489
  6. Step 6: Final answer
    x = 69,518.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.