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Finding the Fourth Proportional to 138,618.86, 191,293.80 and 78,189.32

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Solution

The fourth proportional to 138,618.86, 191,293.80 and 78,189.32 is: 107,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,618.86 : 191,293.80 = 78,189.32 : x
  2. Step 2: Convert to fraction form
    138,618.86/191,293.80 = 78,189.32/x
  3. Step 3: Cross multiply
    138,618.86x = 191,293.80 × 78,189.32
  4. Step 4: Simplify right side
    138,618.86x = 14,957,131,185.75
  5. Step 5: Solve for x
    x = 14,957,131,185.75/138,618.86
  6. Step 6: Final answer
    x = 107,901.13

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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.