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Finding the Fourth Proportional to 138,989.12, 191,793.44 and 78,565.12

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Solution

The fourth proportional to 138,989.12, 191,793.44 and 78,565.12 is: 108,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,989.12 : 191,793.44 = 78,565.12 : x
  2. Step 2: Convert to fraction form
    138,989.12/191,793.44 = 78,565.12/x
  3. Step 3: Cross multiply
    138,989.12x = 191,793.44 × 78,565.12
  4. Step 4: Simplify right side
    138,989.12x = 15,068,274,628.81
  5. Step 5: Solve for x
    x = 15,068,274,628.81/138,989.12
  6. Step 6: Final answer
    x = 108,413.34

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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.