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Finding the Fourth Proportional to 71,743.76, 99,012.84 and 43,447.76

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Solution

The fourth proportional to 71,743.76, 99,012.84 and 43,447.76 is: 59,961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,743.76 : 99,012.84 = 43,447.76 : x
  2. Step 2: Convert to fraction form
    71,743.76/99,012.84 = 43,447.76/x
  3. Step 3: Cross multiply
    71,743.76x = 99,012.84 × 43,447.76
  4. Step 4: Simplify right side
    71,743.76x = 4,301,886,109.24
  5. Step 5: Solve for x
    x = 4,301,886,109.24/71,743.76
  6. Step 6: Final answer
    x = 59,961.82

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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.