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Finding the Fourth Proportional to 87,416, 131,124.48 and 21,752

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Solution

The fourth proportional to 87,416, 131,124.48 and 21,752 is: 32,628.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,416 : 131,124.48 = 21,752 : x
  2. Step 2: Convert to fraction form
    87,416/131,124.48 = 21,752/x
  3. Step 3: Cross multiply
    87,416x = 131,124.48 × 21,752
  4. Step 4: Simplify right side
    87,416x = 2,852,219,688.96
  5. Step 5: Solve for x
    x = 2,852,219,688.96/87,416
  6. Step 6: Final answer
    x = 32,628.12

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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.