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Finding the Fourth Proportional to 50,896, 70,236.48 and 28,540

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Solution

The fourth proportional to 50,896, 70,236.48 and 28,540 is: 39,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,896 : 70,236.48 = 28,540 : x
  2. Step 2: Convert to fraction form
    50,896/70,236.48 = 28,540/x
  3. Step 3: Cross multiply
    50,896x = 70,236.48 × 28,540
  4. Step 4: Simplify right side
    50,896x = 2,004,549,139.20
  5. Step 5: Solve for x
    x = 2,004,549,139.20/50,896
  6. Step 6: Final answer
    x = 39,385.20

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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.