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Finding the Fourth Proportional to 457,536.78, 686,305.14 and 125,112.78

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Solution

The fourth proportional to 457,536.78, 686,305.14 and 125,112.78 is: 187,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,536.78 : 686,305.14 = 125,112.78 : x
  2. Step 2: Convert to fraction form
    457,536.78/686,305.14 = 125,112.78/x
  3. Step 3: Cross multiply
    457,536.78x = 686,305.14 × 125,112.78
  4. Step 4: Simplify right side
    457,536.78x = 85,865,543,993.69
  5. Step 5: Solve for x
    x = 85,865,543,993.69/457,536.78
  6. Step 6: Final answer
    x = 187,669.16

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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.