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Finding the Fourth Proportional to 75,507.80, 113,261.70 and 31,111.70

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Solution

The fourth proportional to 75,507.80, 113,261.70 and 31,111.70 is: 46,667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,507.80 : 113,261.70 = 31,111.70 : x
  2. Step 2: Convert to fraction form
    75,507.80/113,261.70 = 31,111.70/x
  3. Step 3: Cross multiply
    75,507.80x = 113,261.70 × 31,111.70
  4. Step 4: Simplify right side
    75,507.80x = 3,523,764,031.89
  5. Step 5: Solve for x
    x = 3,523,764,031.89/75,507.80
  6. Step 6: Final answer
    x = 46,667.55

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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.