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Finding the Fourth Proportional to 199,890.48, 299,748.24 and 75,144

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Solution

The fourth proportional to 199,890.48, 299,748.24 and 75,144 is: 112,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,890.48 : 299,748.24 = 75,144 : x
  2. Step 2: Convert to fraction form
    199,890.48/299,748.24 = 75,144/x
  3. Step 3: Cross multiply
    199,890.48x = 299,748.24 × 75,144
  4. Step 4: Simplify right side
    199,890.48x = 22,524,281,746.56
  5. Step 5: Solve for x
    x = 22,524,281,746.56/199,890.48
  6. Step 6: Final answer
    x = 112,683.11

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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.