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Finding the Fourth Proportional to 87,465.70, 131,202.69 and 28,306

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Solution

The fourth proportional to 87,465.70, 131,202.69 and 28,306 is: 42,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,465.70 : 131,202.69 = 28,306 : x
  2. Step 2: Convert to fraction form
    87,465.70/131,202.69 = 28,306/x
  3. Step 3: Cross multiply
    87,465.70x = 131,202.69 × 28,306
  4. Step 4: Simplify right side
    87,465.70x = 3,713,823,343.14
  5. Step 5: Solve for x
    x = 3,713,823,343.14/87,465.70
  6. Step 6: Final answer
    x = 42,460.34

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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.