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Finding the Fourth Proportional to 101,608.82, 140,218.67 and 56,286.66

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Solution

The fourth proportional to 101,608.82, 140,218.67 and 56,286.66 is: 77,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,608.82 : 140,218.67 = 56,286.66 : x
  2. Step 2: Convert to fraction form
    101,608.82/140,218.67 = 56,286.66/x
  3. Step 3: Cross multiply
    101,608.82x = 140,218.67 × 56,286.66
  4. Step 4: Simplify right side
    101,608.82x = 7,892,440,322.51
  5. Step 5: Solve for x
    x = 7,892,440,322.51/101,608.82
  6. Step 6: Final answer
    x = 77,674.76

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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.