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Finding the Fourth Proportional to 192,117, 288,177.12 and 67,458

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Solution

The fourth proportional to 192,117, 288,177.12 and 67,458 is: 101,187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,117 : 288,177.12 = 67,458 : x
  2. Step 2: Convert to fraction form
    192,117/288,177.12 = 67,458/x
  3. Step 3: Cross multiply
    192,117x = 288,177.12 × 67,458
  4. Step 4: Simplify right side
    192,117x = 19,439,852,160.96
  5. Step 5: Solve for x
    x = 19,439,852,160.96/192,117
  6. Step 6: Final answer
    x = 101,187.57

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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.