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Finding the Fourth Proportional to 47,240, 65,199.70 and 27,103.55

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Solution

The fourth proportional to 47,240, 65,199.70 and 27,103.55 is: 37,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,240 : 65,199.70 = 27,103.55 : x
  2. Step 2: Convert to fraction form
    47,240/65,199.70 = 27,103.55/x
  3. Step 3: Cross multiply
    47,240x = 65,199.70 × 27,103.55
  4. Step 4: Simplify right side
    47,240x = 1,767,143,328.94
  5. Step 5: Solve for x
    x = 1,767,143,328.94/47,240
  6. Step 6: Final answer
    x = 37,407.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.