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Finding the Fourth Proportional to 140,465.31, 210,692.37 and 77,410.44

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Solution

The fourth proportional to 140,465.31, 210,692.37 and 77,410.44 is: 116,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,465.31 : 210,692.37 = 77,410.44 : x
  2. Step 2: Convert to fraction form
    140,465.31/210,692.37 = 77,410.44/x
  3. Step 3: Cross multiply
    140,465.31x = 210,692.37 × 77,410.44
  4. Step 4: Simplify right side
    140,465.31x = 16,309,789,066.34
  5. Step 5: Solve for x
    x = 16,309,789,066.34/140,465.31
  6. Step 6: Final answer
    x = 116,112.58

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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.