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Finding the Fourth Proportional to 50,642.97, 69,881.22 and 27,980.57

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Solution

The fourth proportional to 50,642.97, 69,881.22 and 27,980.57 is: 38,609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,642.97 : 69,881.22 = 27,980.57 : x
  2. Step 2: Convert to fraction form
    50,642.97/69,881.22 = 27,980.57/x
  3. Step 3: Cross multiply
    50,642.97x = 69,881.22 × 27,980.57
  4. Step 4: Simplify right side
    50,642.97x = 1,955,316,053.47
  5. Step 5: Solve for x
    x = 1,955,316,053.47/50,642.97
  6. Step 6: Final answer
    x = 38,609.82

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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.