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Finding the Fourth Proportional to 75,187.68, 112,782.24 and 19,783.68

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Solution

The fourth proportional to 75,187.68, 112,782.24 and 19,783.68 is: 29,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,187.68 : 112,782.24 = 19,783.68 : x
  2. Step 2: Convert to fraction form
    75,187.68/112,782.24 = 19,783.68/x
  3. Step 3: Cross multiply
    75,187.68x = 112,782.24 × 19,783.68
  4. Step 4: Simplify right side
    75,187.68x = 2,231,247,745.84
  5. Step 5: Solve for x
    x = 2,231,247,745.84/75,187.68
  6. Step 6: Final answer
    x = 29,675.71

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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.