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Finding the Fourth Proportional to 75,124.72, 112,702.22 and 27,740.12

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Solution

The fourth proportional to 75,124.72, 112,702.22 and 27,740.12 is: 41,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,124.72 : 112,702.22 = 27,740.12 : x
  2. Step 2: Convert to fraction form
    75,124.72/112,702.22 = 27,740.12/x
  3. Step 3: Cross multiply
    75,124.72x = 112,702.22 × 27,740.12
  4. Step 4: Simplify right side
    75,124.72x = 3,126,373,107.07
  5. Step 5: Solve for x
    x = 3,126,373,107.07/75,124.72
  6. Step 6: Final answer
    x = 41,615.77

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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.