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Finding the Fourth Proportional to 192,978.38, 266,318.63 and 106,937.15

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Solution

The fourth proportional to 192,978.38, 266,318.63 and 106,937.15 is: 147,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,978.38 : 266,318.63 = 106,937.15 : x
  2. Step 2: Convert to fraction form
    192,978.38/266,318.63 = 106,937.15/x
  3. Step 3: Cross multiply
    192,978.38x = 266,318.63 × 106,937.15
  4. Step 4: Simplify right side
    192,978.38x = 28,479,353,417.83
  5. Step 5: Solve for x
    x = 28,479,353,417.83/192,978.38
  6. Step 6: Final answer
    x = 147,577.95

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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.