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Finding the Fourth Proportional to 57,238.46, 78,978.89 and 34,562.26

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Solution

The fourth proportional to 57,238.46, 78,978.89 and 34,562.26 is: 47,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,238.46 : 78,978.89 = 34,562.26 : x
  2. Step 2: Convert to fraction form
    57,238.46/78,978.89 = 34,562.26/x
  3. Step 3: Cross multiply
    57,238.46x = 78,978.89 × 34,562.26
  4. Step 4: Simplify right side
    57,238.46x = 2,729,689,008.22
  5. Step 5: Solve for x
    x = 2,729,689,008.22/57,238.46
  6. Step 6: Final answer
    x = 47,689.77

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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.