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Finding the Fourth Proportional to 87,137, 130,705.50 and 21,473

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Solution

The fourth proportional to 87,137, 130,705.50 and 21,473 is: 32,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,137 : 130,705.50 = 21,473 : x
  2. Step 2: Convert to fraction form
    87,137/130,705.50 = 21,473/x
  3. Step 3: Cross multiply
    87,137x = 130,705.50 × 21,473
  4. Step 4: Simplify right side
    87,137x = 2,806,639,201.50
  5. Step 5: Solve for x
    x = 2,806,639,201.50/87,137
  6. Step 6: Final answer
    x = 32,209.50

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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.