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Finding the Fourth Proportional to 50,332, 69,462.48 and 27,980.32

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Solution

The fourth proportional to 50,332, 69,462.48 and 27,980.32 is: 38,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,332 : 69,462.48 = 27,980.32 : x
  2. Step 2: Convert to fraction form
    50,332/69,462.48 = 27,980.32/x
  3. Step 3: Cross multiply
    50,332x = 69,462.48 × 27,980.32
  4. Step 4: Simplify right side
    50,332x = 1,943,582,418.39
  5. Step 5: Solve for x
    x = 1,943,582,418.39/50,332
  6. Step 6: Final answer
    x = 38,615.24

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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.