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Finding the Fourth Proportional to 199,920.06, 299,929.32 and 140,871.06

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Solution

The fourth proportional to 199,920.06, 299,929.32 and 140,871.06 is: 211,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,920.06 : 299,929.32 = 140,871.06 : x
  2. Step 2: Convert to fraction form
    199,920.06/299,929.32 = 140,871.06/x
  3. Step 3: Cross multiply
    199,920.06x = 299,929.32 × 140,871.06
  4. Step 4: Simplify right side
    199,920.06x = 42,251,361,233.48
  5. Step 5: Solve for x
    x = 42,251,361,233.48/199,920.06
  6. Step 6: Final answer
    x = 211,341.28

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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.