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Finding the Fourth Proportional to 199,616.52, 299,265.84 and 115,280.76

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Solution

The fourth proportional to 199,616.52, 299,265.84 and 115,280.76 is: 172,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,616.52 : 299,265.84 = 115,280.76 : x
  2. Step 2: Convert to fraction form
    199,616.52/299,265.84 = 115,280.76/x
  3. Step 3: Cross multiply
    199,616.52x = 299,265.84 × 115,280.76
  4. Step 4: Simplify right side
    199,616.52x = 34,499,593,477.24
  5. Step 5: Solve for x
    x = 34,499,593,477.24/199,616.52
  6. Step 6: Final answer
    x = 172,829.35

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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.