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Finding the Fourth Proportional to 87,269, 130,903.50 and 21,605

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Solution

The fourth proportional to 87,269, 130,903.50 and 21,605 is: 32,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,269 : 130,903.50 = 21,605 : x
  2. Step 2: Convert to fraction form
    87,269/130,903.50 = 21,605/x
  3. Step 3: Cross multiply
    87,269x = 130,903.50 × 21,605
  4. Step 4: Simplify right side
    87,269x = 2,828,170,117.50
  5. Step 5: Solve for x
    x = 2,828,170,117.50/87,269
  6. Step 6: Final answer
    x = 32,407.50

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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.