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Finding the Fourth Proportional to 199,352.57, 298,871.90 and 99,461.39

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Solution

The fourth proportional to 199,352.57, 298,871.90 and 99,461.39 is: 149,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,352.57 : 298,871.90 = 99,461.39 : x
  2. Step 2: Convert to fraction form
    199,352.57/298,871.90 = 99,461.39/x
  3. Step 3: Cross multiply
    199,352.57x = 298,871.90 × 99,461.39
  4. Step 4: Simplify right side
    199,352.57x = 29,726,214,108.63
  5. Step 5: Solve for x
    x = 29,726,214,108.63/199,352.57
  6. Step 6: Final answer
    x = 149,113.77

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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.