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Finding the Fourth Proportional to 193,195.80, 289,903.32 and 74,875.32

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Solution

The fourth proportional to 193,195.80, 289,903.32 and 74,875.32 is: 112,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,195.80 : 289,903.32 = 74,875.32 : x
  2. Step 2: Convert to fraction form
    193,195.80/289,903.32 = 74,875.32/x
  3. Step 3: Cross multiply
    193,195.80x = 289,903.32 × 74,875.32
  4. Step 4: Simplify right side
    193,195.80x = 21,706,603,854.06
  5. Step 5: Solve for x
    x = 21,706,603,854.06/193,195.80
  6. Step 6: Final answer
    x = 112,355.46

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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.