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Finding the Fourth Proportional to 103,077.72, 142,247.79 and 57,755.79

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Solution

The fourth proportional to 103,077.72, 142,247.79 and 57,755.79 is: 79,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,077.72 : 142,247.79 = 57,755.79 : x
  2. Step 2: Convert to fraction form
    103,077.72/142,247.79 = 57,755.79/x
  3. Step 3: Cross multiply
    103,077.72x = 142,247.79 × 57,755.79
  4. Step 4: Simplify right side
    103,077.72x = 8,215,633,487.20
  5. Step 5: Solve for x
    x = 8,215,633,487.20/103,077.72
  6. Step 6: Final answer
    x = 79,703.29

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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.