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Finding the Fourth Proportional to 86,823, 119,831.08 and 51,013

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Solution

The fourth proportional to 86,823, 119,831.08 and 51,013 is: 70,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,823 : 119,831.08 = 51,013 : x
  2. Step 2: Convert to fraction form
    86,823/119,831.08 = 51,013/x
  3. Step 3: Cross multiply
    86,823x = 119,831.08 × 51,013
  4. Step 4: Simplify right side
    86,823x = 6,112,942,884.04
  5. Step 5: Solve for x
    x = 6,112,942,884.04/86,823
  6. Step 6: Final answer
    x = 70,406.95

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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.