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Finding the Fourth Proportional to 119,086.70, 178,684.62 and 51,639.42

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Solution

The fourth proportional to 119,086.70, 178,684.62 and 51,639.42 is: 77,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,086.70 : 178,684.62 = 51,639.42 : x
  2. Step 2: Convert to fraction form
    119,086.70/178,684.62 = 51,639.42/x
  3. Step 3: Cross multiply
    119,086.70x = 178,684.62 × 51,639.42
  4. Step 4: Simplify right side
    119,086.70x = 9,227,170,139.72
  5. Step 5: Solve for x
    x = 9,227,170,139.72/119,086.70
  6. Step 6: Final answer
    x = 77,482.79

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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.