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Finding the Fourth Proportional to 199,651.64, 299,476.92 and 81,295.16

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Solution

The fourth proportional to 199,651.64, 299,476.92 and 81,295.16 is: 121,942.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,651.64 : 299,476.92 = 81,295.16 : x
  2. Step 2: Convert to fraction form
    199,651.64/299,476.92 = 81,295.16/x
  3. Step 3: Cross multiply
    199,651.64x = 299,476.92 × 81,295.16
  4. Step 4: Simplify right side
    199,651.64x = 24,346,024,127.71
  5. Step 5: Solve for x
    x = 24,346,024,127.71/199,651.64
  6. Step 6: Final answer
    x = 121,942.52

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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.