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Finding the Fourth Proportional to 101,942.73, 140,681.31 and 56,620.71

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Solution

The fourth proportional to 101,942.73, 140,681.31 and 56,620.71 is: 78,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,942.73 : 140,681.31 = 56,620.71 : x
  2. Step 2: Convert to fraction form
    101,942.73/140,681.31 = 56,620.71/x
  3. Step 3: Cross multiply
    101,942.73x = 140,681.31 × 56,620.71
  4. Step 4: Simplify right side
    101,942.73x = 7,965,475,655.93
  5. Step 5: Solve for x
    x = 7,965,475,655.93/101,942.73
  6. Step 6: Final answer
    x = 78,136.77

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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.