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Finding the Fourth Proportional to 101,513.88, 152,290.26 and 31,380.84

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Solution

The fourth proportional to 101,513.88, 152,290.26 and 31,380.84 is: 47,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,513.88 : 152,290.26 = 31,380.84 : x
  2. Step 2: Convert to fraction form
    101,513.88/152,290.26 = 31,380.84/x
  3. Step 3: Cross multiply
    101,513.88x = 152,290.26 × 31,380.84
  4. Step 4: Simplify right side
    101,513.88x = 4,778,996,282.62
  5. Step 5: Solve for x
    x = 4,778,996,282.62/101,513.88
  6. Step 6: Final answer
    x = 47,077.27

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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.