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Finding the Fourth Proportional to 50,492, 75,759.48 and 20,931.32

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Solution

The fourth proportional to 50,492, 75,759.48 and 20,931.32 is: 31,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,492 : 75,759.48 = 20,931.32 : x
  2. Step 2: Convert to fraction form
    50,492/75,759.48 = 20,931.32/x
  3. Step 3: Cross multiply
    50,492x = 75,759.48 × 20,931.32
  4. Step 4: Simplify right side
    50,492x = 1,585,745,918.91
  5. Step 5: Solve for x
    x = 1,585,745,918.91/50,492
  6. Step 6: Final answer
    x = 31,405.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.