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Finding the Fourth Proportional to 101,495.97, 152,258.54 and 31,380.75

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Solution

The fourth proportional to 101,495.97, 152,258.54 and 31,380.75 is: 47,075.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,495.97 : 152,258.54 = 31,380.75 : x
  2. Step 2: Convert to fraction form
    101,495.97/152,258.54 = 31,380.75/x
  3. Step 3: Cross multiply
    101,495.97x = 152,258.54 × 31,380.75
  4. Step 4: Simplify right side
    101,495.97x = 4,777,987,179.11
  5. Step 5: Solve for x
    x = 4,777,987,179.11/101,495.97
  6. Step 6: Final answer
    x = 47,075.63

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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.