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Finding the Fourth Proportional to 104,162.72, 143,742.84 and 56,415.68

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Solution

The fourth proportional to 104,162.72, 143,742.84 and 56,415.68 is: 77,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,162.72 : 143,742.84 = 56,415.68 : x
  2. Step 2: Convert to fraction form
    104,162.72/143,742.84 = 56,415.68/x
  3. Step 3: Cross multiply
    104,162.72x = 143,742.84 × 56,415.68
  4. Step 4: Simplify right side
    104,162.72x = 8,109,350,063.73
  5. Step 5: Solve for x
    x = 8,109,350,063.73/104,162.72
  6. Step 6: Final answer
    x = 77,852.71

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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.