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Finding the Fourth Proportional to 71,640.10, 107,461.05 and 21,720.70

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Solution

The fourth proportional to 71,640.10, 107,461.05 and 21,720.70 is: 32,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,640.10 : 107,461.05 = 21,720.70 : x
  2. Step 2: Convert to fraction form
    71,640.10/107,461.05 = 21,720.70/x
  3. Step 3: Cross multiply
    71,640.10x = 107,461.05 × 21,720.70
  4. Step 4: Simplify right side
    71,640.10x = 2,334,129,228.74
  5. Step 5: Solve for x
    x = 2,334,129,228.74/71,640.10
  6. Step 6: Final answer
    x = 32,581.32

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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.