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Finding the Fourth Proportional to 100,692.81, 151,045.89 and 29,621.82

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Solution

The fourth proportional to 100,692.81, 151,045.89 and 29,621.82 is: 44,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,692.81 : 151,045.89 = 29,621.82 : x
  2. Step 2: Convert to fraction form
    100,692.81/151,045.89 = 29,621.82/x
  3. Step 3: Cross multiply
    100,692.81x = 151,045.89 × 29,621.82
  4. Step 4: Simplify right side
    100,692.81x = 4,474,254,165.32
  5. Step 5: Solve for x
    x = 4,474,254,165.32/100,692.81
  6. Step 6: Final answer
    x = 44,434.69

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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.