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Finding the Fourth Proportional to 101,969.16, 140,726.94 and 61,692.82

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Solution

The fourth proportional to 101,969.16, 140,726.94 and 61,692.82 is: 85,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,969.16 : 140,726.94 = 61,692.82 : x
  2. Step 2: Convert to fraction form
    101,969.16/140,726.94 = 61,692.82/x
  3. Step 3: Cross multiply
    101,969.16x = 140,726.94 × 61,692.82
  4. Step 4: Simplify right side
    101,969.16x = 8,681,841,778.57
  5. Step 5: Solve for x
    x = 8,681,841,778.57/101,969.16
  6. Step 6: Final answer
    x = 85,141.84

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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.