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Finding the Fourth Proportional to 138,507.37, 191,128.67 and 78,092.87

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Solution

The fourth proportional to 138,507.37, 191,128.67 and 78,092.87 is: 107,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,507.37 : 191,128.67 = 78,092.87 : x
  2. Step 2: Convert to fraction form
    138,507.37/191,128.67 = 78,092.87/x
  3. Step 3: Cross multiply
    138,507.37x = 191,128.67 × 78,092.87
  4. Step 4: Simplify right side
    138,507.37x = 14,925,786,379.58
  5. Step 5: Solve for x
    x = 14,925,786,379.58/138,507.37
  6. Step 6: Final answer
    x = 107,761.68

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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.