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Finding the Fourth Proportional to 57,035, 78,708.30 and 31,889.72

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Solution

The fourth proportional to 57,035, 78,708.30 and 31,889.72 is: 44,007.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,035 : 78,708.30 = 31,889.72 : x
  2. Step 2: Convert to fraction form
    57,035/78,708.30 = 31,889.72/x
  3. Step 3: Cross multiply
    57,035x = 78,708.30 × 31,889.72
  4. Step 4: Simplify right side
    57,035x = 2,509,985,648.68
  5. Step 5: Solve for x
    x = 2,509,985,648.68/57,035
  6. Step 6: Final answer
    x = 44,007.81

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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.