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Finding the Fourth Proportional to 273,948.81, 411,032.20 and 105,423.89

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Solution

The fourth proportional to 273,948.81, 411,032.20 and 105,423.89 is: 158,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,948.81 : 411,032.20 = 105,423.89 : x
  2. Step 2: Convert to fraction form
    273,948.81/411,032.20 = 105,423.89/x
  3. Step 3: Cross multiply
    273,948.81x = 411,032.20 × 105,423.89
  4. Step 4: Simplify right side
    273,948.81x = 43,332,612,912.14
  5. Step 5: Solve for x
    x = 43,332,612,912.14/273,948.81
  6. Step 6: Final answer
    x = 158,177.77

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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.