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Finding the Fourth Proportional to 101,126.48, 151,820.88 and 77,769.44

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Solution

The fourth proportional to 101,126.48, 151,820.88 and 77,769.44 is: 116,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,126.48 : 151,820.88 = 77,769.44 : x
  2. Step 2: Convert to fraction form
    101,126.48/151,820.88 = 77,769.44/x
  3. Step 3: Cross multiply
    101,126.48x = 151,820.88 × 77,769.44
  4. Step 4: Simplify right side
    101,126.48x = 11,807,024,817.91
  5. Step 5: Solve for x
    x = 11,807,024,817.91/101,126.48
  6. Step 6: Final answer
    x = 116,755.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.