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Finding the Fourth Proportional to 199,411.56, 299,052.64 and 66,256.07

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Solution

The fourth proportional to 199,411.56, 299,052.64 and 66,256.07 is: 99,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,411.56 : 299,052.64 = 66,256.07 : x
  2. Step 2: Convert to fraction form
    199,411.56/299,052.64 = 66,256.07/x
  3. Step 3: Cross multiply
    199,411.56x = 299,052.64 × 66,256.07
  4. Step 4: Simplify right side
    199,411.56x = 19,814,052,649.52
  5. Step 5: Solve for x
    x = 19,814,052,649.52/199,411.56
  6. Step 6: Final answer
    x = 99,362.61

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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.