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Finding the Fourth Proportional to 136,299.68, 188,093.52 and 75,869.02

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Solution

The fourth proportional to 136,299.68, 188,093.52 and 75,869.02 is: 104,699.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,299.68 : 188,093.52 = 75,869.02 : x
  2. Step 2: Convert to fraction form
    136,299.68/188,093.52 = 75,869.02/x
  3. Step 3: Cross multiply
    136,299.68x = 188,093.52 × 75,869.02
  4. Step 4: Simplify right side
    136,299.68x = 14,270,471,030.75
  5. Step 5: Solve for x
    x = 14,270,471,030.75/136,299.68
  6. Step 6: Final answer
    x = 104,699.23

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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.