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Finding the Fourth Proportional to 138,773.54, 191,496.83 and 78,350.15

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Solution

The fourth proportional to 138,773.54, 191,496.83 and 78,350.15 is: 108,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,773.54 : 191,496.83 = 78,350.15 : x
  2. Step 2: Convert to fraction form
    138,773.54/191,496.83 = 78,350.15/x
  3. Step 3: Cross multiply
    138,773.54x = 191,496.83 × 78,350.15
  4. Step 4: Simplify right side
    138,773.54x = 15,003,804,005.79
  5. Step 5: Solve for x
    x = 15,003,804,005.79/138,773.54
  6. Step 6: Final answer
    x = 108,117.19

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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.