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Finding the Fourth Proportional to 199,854.59, 299,633.65 and 120,950.06

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Solution

The fourth proportional to 199,854.59, 299,633.65 and 120,950.06 is: 181,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,854.59 : 299,633.65 = 120,950.06 : x
  2. Step 2: Convert to fraction form
    199,854.59/299,633.65 = 120,950.06/x
  3. Step 3: Cross multiply
    199,854.59x = 299,633.65 × 120,950.06
  4. Step 4: Simplify right side
    199,854.59x = 36,240,706,144.98
  5. Step 5: Solve for x
    x = 36,240,706,144.98/199,854.59
  6. Step 6: Final answer
    x = 181,335.38

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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.