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Finding the Fourth Proportional to 199,311.49, 299,005.73 and 64,411.86

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Solution

The fourth proportional to 199,311.49, 299,005.73 and 64,411.86 is: 96,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,311.49 : 299,005.73 = 64,411.86 : x
  2. Step 2: Convert to fraction form
    199,311.49/299,005.73 = 64,411.86/x
  3. Step 3: Cross multiply
    199,311.49x = 299,005.73 × 64,411.86
  4. Step 4: Simplify right side
    199,311.49x = 19,259,514,578.81
  5. Step 5: Solve for x
    x = 19,259,514,578.81/199,311.49
  6. Step 6: Final answer
    x = 96,630.23

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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.