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Finding the Fourth Proportional to 101,710.22, 140,360.31 and 56,388.96

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Solution

The fourth proportional to 101,710.22, 140,360.31 and 56,388.96 is: 77,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,710.22 : 140,360.31 = 56,388.96 : x
  2. Step 2: Convert to fraction form
    101,710.22/140,360.31 = 56,388.96/x
  3. Step 3: Cross multiply
    101,710.22x = 140,360.31 × 56,388.96
  4. Step 4: Simplify right side
    101,710.22x = 7,914,771,906.18
  5. Step 5: Solve for x
    x = 7,914,771,906.18/101,710.22
  6. Step 6: Final answer
    x = 77,816.88

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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.