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Finding the Fourth Proportional to 199,419.57, 299,064.63 and 66,264.09

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Solution

The fourth proportional to 199,419.57, 299,064.63 and 66,264.09 is: 99,374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,419.57 : 299,064.63 = 66,264.09 : x
  2. Step 2: Convert to fraction form
    199,419.57/299,064.63 = 66,264.09/x
  3. Step 3: Cross multiply
    199,419.57x = 299,064.63 × 66,264.09
  4. Step 4: Simplify right side
    199,419.57x = 19,817,245,558.14
  5. Step 5: Solve for x
    x = 19,817,245,558.14/199,419.57
  6. Step 6: Final answer
    x = 99,374.63

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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.