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Finding the Fourth Proportional to 84,121.42, 116,087.70 and 45,881

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Solution

The fourth proportional to 84,121.42, 116,087.70 and 45,881 is: 63,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,121.42 : 116,087.70 = 45,881 : x
  2. Step 2: Convert to fraction form
    84,121.42/116,087.70 = 45,881/x
  3. Step 3: Cross multiply
    84,121.42x = 116,087.70 × 45,881
  4. Step 4: Simplify right side
    84,121.42x = 5,326,219,763.70
  5. Step 5: Solve for x
    x = 5,326,219,763.70/84,121.42
  6. Step 6: Final answer
    x = 63,315.86

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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.