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Finding the Fourth Proportional to 101,776.26, 140,458.44 and 56,458.56

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Solution

The fourth proportional to 101,776.26, 140,458.44 and 56,458.56 is: 77,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,776.26 : 140,458.44 = 56,458.56 : x
  2. Step 2: Convert to fraction form
    101,776.26/140,458.44 = 56,458.56/x
  3. Step 3: Cross multiply
    101,776.26x = 140,458.44 × 56,458.56
  4. Step 4: Simplify right side
    101,776.26x = 7,930,081,262.25
  5. Step 5: Solve for x
    x = 7,930,081,262.25/101,776.26
  6. Step 6: Final answer
    x = 77,916.81

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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.