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Finding the Fourth Proportional to 199,406.81, 299,045.52 and 66,251.32

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Solution

The fourth proportional to 199,406.81, 299,045.52 and 66,251.32 is: 99,355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,406.81 : 299,045.52 = 66,251.32 : x
  2. Step 2: Convert to fraction form
    199,406.81/299,045.52 = 66,251.32/x
  3. Step 3: Cross multiply
    199,406.81x = 299,045.52 × 66,251.32
  4. Step 4: Simplify right side
    199,406.81x = 19,812,159,692.47
  5. Step 5: Solve for x
    x = 19,812,159,692.47/199,406.81
  6. Step 6: Final answer
    x = 99,355.48

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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.