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Finding the Fourth Proportional to 87,642, 131,465.43 and 25,312.50

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Solution

The fourth proportional to 87,642, 131,465.43 and 25,312.50 is: 37,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,642 : 131,465.43 = 25,312.50 : x
  2. Step 2: Convert to fraction form
    87,642/131,465.43 = 25,312.50/x
  3. Step 3: Cross multiply
    87,642x = 131,465.43 × 25,312.50
  4. Step 4: Simplify right side
    87,642x = 3,327,718,696.88
  5. Step 5: Solve for x
    x = 3,327,718,696.88/87,642
  6. Step 6: Final answer
    x = 37,969.45

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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.