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Finding the Fourth Proportional to 101,769, 140,445.54 and 57,057

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Solution

The fourth proportional to 101,769, 140,445.54 and 57,057 is: 78,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,769 : 140,445.54 = 57,057 : x
  2. Step 2: Convert to fraction form
    101,769/140,445.54 = 57,057/x
  3. Step 3: Cross multiply
    101,769x = 140,445.54 × 57,057
  4. Step 4: Simplify right side
    101,769x = 8,013,401,175.78
  5. Step 5: Solve for x
    x = 8,013,401,175.78/101,769
  6. Step 6: Final answer
    x = 78,741.08

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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.