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Finding the Fourth Proportional to 87,137.50, 130,706.23 and 24,808

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Solution

The fourth proportional to 87,137.50, 130,706.23 and 24,808 is: 37,211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,137.50 : 130,706.23 = 24,808 : x
  2. Step 2: Convert to fraction form
    87,137.50/130,706.23 = 24,808/x
  3. Step 3: Cross multiply
    87,137.50x = 130,706.23 × 24,808
  4. Step 4: Simplify right side
    87,137.50x = 3,242,560,153.84
  5. Step 5: Solve for x
    x = 3,242,560,153.84/87,137.50
  6. Step 6: Final answer
    x = 37,211.99

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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.