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Finding the Fourth Proportional to 71,720.56, 98,977.44 and 41,507.20

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Solution

The fourth proportional to 71,720.56, 98,977.44 and 41,507.20 is: 57,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,720.56 : 98,977.44 = 41,507.20 : x
  2. Step 2: Convert to fraction form
    71,720.56/98,977.44 = 41,507.20/x
  3. Step 3: Cross multiply
    71,720.56x = 98,977.44 × 41,507.20
  4. Step 4: Simplify right side
    71,720.56x = 4,108,276,397.57
  5. Step 5: Solve for x
    x = 4,108,276,397.57/71,720.56
  6. Step 6: Final answer
    x = 57,281.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.