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Finding the Fourth Proportional to 100,731.02, 139,009.10 and 55,413.63

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Solution

The fourth proportional to 100,731.02, 139,009.10 and 55,413.63 is: 76,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,731.02 : 139,009.10 = 55,413.63 : x
  2. Step 2: Convert to fraction form
    100,731.02/139,009.10 = 55,413.63/x
  3. Step 3: Cross multiply
    100,731.02x = 139,009.10 × 55,413.63
  4. Step 4: Simplify right side
    100,731.02x = 7,702,998,556.96
  5. Step 5: Solve for x
    x = 7,702,998,556.96/100,731.02
  6. Step 6: Final answer
    x = 76,470.97

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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.