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Finding the Fourth Proportional to 75,907.55, 113,865.47 and 31,538.79

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Solution

The fourth proportional to 75,907.55, 113,865.47 and 31,538.79 is: 47,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,907.55 : 113,865.47 = 31,538.79 : x
  2. Step 2: Convert to fraction form
    75,907.55/113,865.47 = 31,538.79/x
  3. Step 3: Cross multiply
    75,907.55x = 113,865.47 × 31,538.79
  4. Step 4: Simplify right side
    75,907.55x = 3,591,179,146.58
  5. Step 5: Solve for x
    x = 3,591,179,146.58/75,907.55
  6. Step 6: Final answer
    x = 47,309.91

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1.5x scale

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.