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Finding the Fourth Proportional to 101,505, 140,077.21 and 56,186.13

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Solution

The fourth proportional to 101,505, 140,077.21 and 56,186.13 is: 77,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,505 : 140,077.21 = 56,186.13 : x
  2. Step 2: Convert to fraction form
    101,505/140,077.21 = 56,186.13/x
  3. Step 3: Cross multiply
    101,505x = 140,077.21 × 56,186.13
  4. Step 4: Simplify right side
    101,505x = 7,870,396,331.10
  5. Step 5: Solve for x
    x = 7,870,396,331.10/101,505
  6. Step 6: Final answer
    x = 77,537.03

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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.