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Finding the Fourth Proportional to 201,942.61, 278,679.65 and 111,298.65

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Solution

The fourth proportional to 201,942.61, 278,679.65 and 111,298.65 is: 153,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,942.61 : 278,679.65 = 111,298.65 : x
  2. Step 2: Convert to fraction form
    201,942.61/278,679.65 = 111,298.65/x
  3. Step 3: Cross multiply
    201,942.61x = 278,679.65 × 111,298.65
  4. Step 4: Simplify right side
    201,942.61x = 31,016,668,827.47
  5. Step 5: Solve for x
    x = 31,016,668,827.47/201,942.61
  6. Step 6: Final answer
    x = 153,591.50

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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.