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Finding the Fourth Proportional to 101,707.25, 140,364.26 and 56,399.42

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Solution

The fourth proportional to 101,707.25, 140,364.26 and 56,399.42 is: 77,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,707.25 : 140,364.26 = 56,399.42 : x
  2. Step 2: Convert to fraction form
    101,707.25/140,364.26 = 56,399.42/x
  3. Step 3: Cross multiply
    101,707.25x = 140,364.26 × 56,399.42
  4. Step 4: Simplify right side
    101,707.25x = 7,916,463,133.14
  5. Step 5: Solve for x
    x = 7,916,463,133.14/101,707.25
  6. Step 6: Final answer
    x = 77,835.78

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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.