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Finding the Fourth Proportional to 199,420.65, 299,043.41 and 74,674.17

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Solution

The fourth proportional to 199,420.65, 299,043.41 and 74,674.17 is: 111,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,420.65 : 299,043.41 = 74,674.17 : x
  2. Step 2: Convert to fraction form
    199,420.65/299,043.41 = 74,674.17/x
  3. Step 3: Cross multiply
    199,420.65x = 299,043.41 × 74,674.17
  4. Step 4: Simplify right side
    199,420.65x = 22,330,818,062.35
  5. Step 5: Solve for x
    x = 22,330,818,062.35/199,420.65
  6. Step 6: Final answer
    x = 111,978.46

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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.