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Finding the Fourth Proportional to 138,165.34, 207,247.98 and 49,413.46

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Solution

The fourth proportional to 138,165.34, 207,247.98 and 49,413.46 is: 74,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,165.34 : 207,247.98 = 49,413.46 : x
  2. Step 2: Convert to fraction form
    138,165.34/207,247.98 = 49,413.46/x
  3. Step 3: Cross multiply
    138,165.34x = 207,247.98 × 49,413.46
  4. Step 4: Simplify right side
    138,165.34x = 10,240,839,769.81
  5. Step 5: Solve for x
    x = 10,240,839,769.81/138,165.34
  6. Step 6: Final answer
    x = 74,120.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.