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Finding the Fourth Proportional to 193,787.69, 290,688.01 and 67,438.54

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Solution

The fourth proportional to 193,787.69, 290,688.01 and 67,438.54 is: 101,160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,787.69 : 290,688.01 = 67,438.54 : x
  2. Step 2: Convert to fraction form
    193,787.69/290,688.01 = 67,438.54/x
  3. Step 3: Cross multiply
    193,787.69x = 290,688.01 × 67,438.54
  4. Step 4: Simplify right side
    193,787.69x = 19,603,574,094.59
  5. Step 5: Solve for x
    x = 19,603,574,094.59/193,787.69
  6. Step 6: Final answer
    x = 101,160.06

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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.