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Finding the Fourth Proportional to 192,089, 288,135.12 and 67,430

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Solution

The fourth proportional to 192,089, 288,135.12 and 67,430 is: 101,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,089 : 288,135.12 = 67,430 : x
  2. Step 2: Convert to fraction form
    192,089/288,135.12 = 67,430/x
  3. Step 3: Cross multiply
    192,089x = 288,135.12 × 67,430
  4. Step 4: Simplify right side
    192,089x = 19,428,951,141.60
  5. Step 5: Solve for x
    x = 19,428,951,141.60/192,089
  6. Step 6: Final answer
    x = 101,145.57

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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.