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Finding the Fourth Proportional to 150,923.76, 208,262.58 and 87,265.65

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Solution

The fourth proportional to 150,923.76, 208,262.58 and 87,265.65 is: 120,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,923.76 : 208,262.58 = 87,265.65 : x
  2. Step 2: Convert to fraction form
    150,923.76/208,262.58 = 87,265.65/x
  3. Step 3: Cross multiply
    150,923.76x = 208,262.58 × 87,265.65
  4. Step 4: Simplify right side
    150,923.76x = 18,174,169,414.38
  5. Step 5: Solve for x
    x = 18,174,169,414.38/150,923.76
  6. Step 6: Final answer
    x = 120,419.54

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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.