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Finding the Fourth Proportional to 139,726, 192,394.90 and 105,320.76

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Solution

The fourth proportional to 139,726, 192,394.90 and 105,320.76 is: 145,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,726 : 192,394.90 = 105,320.76 : x
  2. Step 2: Convert to fraction form
    139,726/192,394.90 = 105,320.76/x
  3. Step 3: Cross multiply
    139,726x = 192,394.90 × 105,320.76
  4. Step 4: Simplify right side
    139,726x = 20,263,177,088.12
  5. Step 5: Solve for x
    x = 20,263,177,088.12/139,726
  6. Step 6: Final answer
    x = 145,020.81

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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.