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Finding the Fourth Proportional to 199,678.68, 299,434.80 and 81,269.64

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Solution

The fourth proportional to 199,678.68, 299,434.80 and 81,269.64 is: 121,870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,678.68 : 299,434.80 = 81,269.64 : x
  2. Step 2: Convert to fraction form
    199,678.68/299,434.80 = 81,269.64/x
  3. Step 3: Cross multiply
    199,678.68x = 299,434.80 × 81,269.64
  4. Step 4: Simplify right side
    199,678.68x = 24,334,958,399.47
  5. Step 5: Solve for x
    x = 24,334,958,399.47/199,678.68
  6. Step 6: Final answer
    x = 121,870.59

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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.