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Finding the Fourth Proportional to 101,760.59, 140,412.79 and 56,431.37

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Solution

The fourth proportional to 101,760.59, 140,412.79 and 56,431.37 is: 77,865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,760.59 : 140,412.79 = 56,431.37 : x
  2. Step 2: Convert to fraction form
    101,760.59/140,412.79 = 56,431.37/x
  3. Step 3: Cross multiply
    101,760.59x = 140,412.79 × 56,431.37
  4. Step 4: Simplify right side
    101,760.59x = 7,923,685,262.08
  5. Step 5: Solve for x
    x = 7,923,685,262.08/101,760.59
  6. Step 6: Final answer
    x = 77,865.96

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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.