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Finding the Fourth Proportional to 199,675.29, 299,254.41 and 81,209.01

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Solution

The fourth proportional to 199,675.29, 299,254.41 and 81,209.01 is: 121,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,675.29 : 299,254.41 = 81,209.01 : x
  2. Step 2: Convert to fraction form
    199,675.29/299,254.41 = 81,209.01/x
  3. Step 3: Cross multiply
    199,675.29x = 299,254.41 × 81,209.01
  4. Step 4: Simplify right side
    199,675.29x = 24,302,154,374.23
  5. Step 5: Solve for x
    x = 24,302,154,374.23/199,675.29
  6. Step 6: Final answer
    x = 121,708.37

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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.