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Finding the Fourth Proportional to 75,189.54, 112,784.47 and 30,231.62

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Solution

The fourth proportional to 75,189.54, 112,784.47 and 30,231.62 is: 45,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,189.54 : 112,784.47 = 30,231.62 : x
  2. Step 2: Convert to fraction form
    75,189.54/112,784.47 = 30,231.62/x
  3. Step 3: Cross multiply
    75,189.54x = 112,784.47 × 30,231.62
  4. Step 4: Simplify right side
    75,189.54x = 3,409,657,238.94
  5. Step 5: Solve for x
    x = 3,409,657,238.94/75,189.54
  6. Step 6: Final answer
    x = 45,347.49

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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.