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Finding the Fourth Proportional to 134,811, 186,039.18 and 75,195

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Solution

The fourth proportional to 134,811, 186,039.18 and 75,195 is: 103,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,811 : 186,039.18 = 75,195 : x
  2. Step 2: Convert to fraction form
    134,811/186,039.18 = 75,195/x
  3. Step 3: Cross multiply
    134,811x = 186,039.18 × 75,195
  4. Step 4: Simplify right side
    134,811x = 13,989,216,140.10
  5. Step 5: Solve for x
    x = 13,989,216,140.10/134,811
  6. Step 6: Final answer
    x = 103,769.10

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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.