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Finding the Fourth Proportional to 75,142.86, 112,721.79 and 27,770.39

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Solution

The fourth proportional to 75,142.86, 112,721.79 and 27,770.39 is: 41,658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,142.86 : 112,721.79 = 27,770.39 : x
  2. Step 2: Convert to fraction form
    75,142.86/112,721.79 = 27,770.39/x
  3. Step 3: Cross multiply
    75,142.86x = 112,721.79 × 27,770.39
  4. Step 4: Simplify right side
    75,142.86x = 3,130,327,506.19
  5. Step 5: Solve for x
    x = 3,130,327,506.19/75,142.86
  6. Step 6: Final answer
    x = 41,658.35

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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.