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Finding the Fourth Proportional to 199,428.49, 299,055.12 and 74,682.01

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Solution

The fourth proportional to 199,428.49, 299,055.12 and 74,682.01 is: 111,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,428.49 : 299,055.12 = 74,682.01 : x
  2. Step 2: Convert to fraction form
    199,428.49/299,055.12 = 74,682.01/x
  3. Step 3: Cross multiply
    199,428.49x = 299,055.12 × 74,682.01
  4. Step 4: Simplify right side
    199,428.49x = 22,334,037,462.39
  5. Step 5: Solve for x
    x = 22,334,037,462.39/199,428.49
  6. Step 6: Final answer
    x = 111,990.20

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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.