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Finding the Fourth Proportional to 157,367.94, 217,167.78 and 85,747.98

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Solution

The fourth proportional to 157,367.94, 217,167.78 and 85,747.98 is: 118,332.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,367.94 : 217,167.78 = 85,747.98 : x
  2. Step 2: Convert to fraction form
    157,367.94/217,167.78 = 85,747.98/x
  3. Step 3: Cross multiply
    157,367.94x = 217,167.78 × 85,747.98
  4. Step 4: Simplify right side
    157,367.94x = 18,621,698,456.08
  5. Step 5: Solve for x
    x = 18,621,698,456.08/157,367.94
  6. Step 6: Final answer
    x = 118,332.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.