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Finding the Fourth Proportional to 101,757, 140,419.76 and 56,431.44

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Solution

The fourth proportional to 101,757, 140,419.76 and 56,431.44 is: 77,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,757 : 140,419.76 = 56,431.44 : x
  2. Step 2: Convert to fraction form
    101,757/140,419.76 = 56,431.44/x
  3. Step 3: Cross multiply
    101,757x = 140,419.76 × 56,431.44
  4. Step 4: Simplify right side
    101,757x = 7,924,089,261.25
  5. Step 5: Solve for x
    x = 7,924,089,261.25/101,757
  6. Step 6: Final answer
    x = 77,872.67

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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.