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Finding the Fourth Proportional to 114,427.40, 171,638.40 and 31,321.40

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Solution

The fourth proportional to 114,427.40, 171,638.40 and 31,321.40 is: 46,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,427.40 : 171,638.40 = 31,321.40 : x
  2. Step 2: Convert to fraction form
    114,427.40/171,638.40 = 31,321.40/x
  3. Step 3: Cross multiply
    114,427.40x = 171,638.40 × 31,321.40
  4. Step 4: Simplify right side
    114,427.40x = 5,375,954,981.76
  5. Step 5: Solve for x
    x = 5,375,954,981.76/114,427.40
  6. Step 6: Final answer
    x = 46,981.36

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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.