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Finding the Fourth Proportional to 199,643.11, 299,507.72 and 57,487.43

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Solution

The fourth proportional to 199,643.11, 299,507.72 and 57,487.43 is: 86,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,643.11 : 299,507.72 = 57,487.43 : x
  2. Step 2: Convert to fraction form
    199,643.11/299,507.72 = 57,487.43/x
  3. Step 3: Cross multiply
    199,643.11x = 299,507.72 × 57,487.43
  4. Step 4: Simplify right side
    199,643.11x = 17,217,927,302.98
  5. Step 5: Solve for x
    x = 17,217,927,302.98/199,643.11
  6. Step 6: Final answer
    x = 86,243.54

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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.