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Finding the Fourth Proportional to 103,720.96, 143,137.84 and 63,434

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Solution

The fourth proportional to 103,720.96, 143,137.84 and 63,434 is: 87,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,720.96 : 143,137.84 = 63,434 : x
  2. Step 2: Convert to fraction form
    103,720.96/143,137.84 = 63,434/x
  3. Step 3: Cross multiply
    103,720.96x = 143,137.84 × 63,434
  4. Step 4: Simplify right side
    103,720.96x = 9,079,805,742.56
  5. Step 5: Solve for x
    x = 9,079,805,742.56/103,720.96
  6. Step 6: Final answer
    x = 87,540.70

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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.