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Finding the Fourth Proportional to 119,295.42, 178,938.46 and 40,409.65

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Solution

The fourth proportional to 119,295.42, 178,938.46 and 40,409.65 is: 60,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,295.42 : 178,938.46 = 40,409.65 : x
  2. Step 2: Convert to fraction form
    119,295.42/178,938.46 = 40,409.65/x
  3. Step 3: Cross multiply
    119,295.42x = 178,938.46 × 40,409.65
  4. Step 4: Simplify right side
    119,295.42x = 7,230,840,554.58
  5. Step 5: Solve for x
    x = 7,230,840,554.58/119,295.42
  6. Step 6: Final answer
    x = 60,612.89

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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.