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Finding the Fourth Proportional to 199,289, 275,018.82 and 109,866.92

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Solution

The fourth proportional to 199,289, 275,018.82 and 109,866.92 is: 151,616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,289 : 275,018.82 = 109,866.92 : x
  2. Step 2: Convert to fraction form
    199,289/275,018.82 = 109,866.92/x
  3. Step 3: Cross multiply
    199,289x = 275,018.82 × 109,866.92
  4. Step 4: Simplify right side
    199,289x = 30,215,470,695.43
  5. Step 5: Solve for x
    x = 30,215,470,695.43/199,289
  6. Step 6: Final answer
    x = 151,616.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.