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Finding the Fourth Proportional to 199,555.74, 299,322.66 and 120,648.78

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Solution

The fourth proportional to 199,555.74, 299,322.66 and 120,648.78 is: 180,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,555.74 : 299,322.66 = 120,648.78 : x
  2. Step 2: Convert to fraction form
    199,555.74/299,322.66 = 120,648.78/x
  3. Step 3: Cross multiply
    199,555.74x = 299,322.66 × 120,648.78
  4. Step 4: Simplify right side
    199,555.74x = 36,112,913,755.35
  5. Step 5: Solve for x
    x = 36,112,913,755.35/199,555.74
  6. Step 6: Final answer
    x = 180,966.55

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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.