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Finding the Fourth Proportional to 50,470, 69,651 and 28,114

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Solution

The fourth proportional to 50,470, 69,651 and 28,114 is: 38,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,470 : 69,651 = 28,114 : x
  2. Step 2: Convert to fraction form
    50,470/69,651 = 28,114/x
  3. Step 3: Cross multiply
    50,470x = 69,651 × 28,114
  4. Step 4: Simplify right side
    50,470x = 1,958,168,214
  5. Step 5: Solve for x
    x = 1,958,168,214/50,470
  6. Step 6: Final answer
    x = 38,798.66

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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.