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Finding the Fourth Proportional to 101,911.56, 140,635.32 and 56,588.40

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Solution

The fourth proportional to 101,911.56, 140,635.32 and 56,588.40 is: 78,090.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,911.56 : 140,635.32 = 56,588.40 : x
  2. Step 2: Convert to fraction form
    101,911.56/140,635.32 = 56,588.40/x
  3. Step 3: Cross multiply
    101,911.56x = 140,635.32 × 56,588.40
  4. Step 4: Simplify right side
    101,911.56x = 7,958,327,742.29
  5. Step 5: Solve for x
    x = 7,958,327,742.29/101,911.56
  6. Step 6: Final answer
    x = 78,090.53

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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.