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Finding the Fourth Proportional to 100,288.86, 138,413.87 and 64,005.96

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Solution

The fourth proportional to 100,288.86, 138,413.87 and 64,005.96 is: 88,337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,288.86 : 138,413.87 = 64,005.96 : x
  2. Step 2: Convert to fraction form
    100,288.86/138,413.87 = 64,005.96/x
  3. Step 3: Cross multiply
    100,288.86x = 138,413.87 × 64,005.96
  4. Step 4: Simplify right side
    100,288.86x = 8,859,312,786.68
  5. Step 5: Solve for x
    x = 8,859,312,786.68/100,288.86
  6. Step 6: Final answer
    x = 88,337.95

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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.