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Finding the Fourth Proportional to 101,772.86, 140,448.79 and 56,449.36

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Solution

The fourth proportional to 101,772.86, 140,448.79 and 56,449.36 is: 77,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,772.86 : 140,448.79 = 56,449.36 : x
  2. Step 2: Convert to fraction form
    101,772.86/140,448.79 = 56,449.36/x
  3. Step 3: Cross multiply
    101,772.86x = 140,448.79 × 56,449.36
  4. Step 4: Simplify right side
    101,772.86x = 7,928,243,446.85
  5. Step 5: Solve for x
    x = 7,928,243,446.85/101,772.86
  6. Step 6: Final answer
    x = 77,901.36

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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.