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Finding the Fourth Proportional to 50,490, 75,756.48 and 20,929.32

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Solution

The fourth proportional to 50,490, 75,756.48 and 20,929.32 is: 31,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,490 : 75,756.48 = 20,929.32 : x
  2. Step 2: Convert to fraction form
    50,490/75,756.48 = 20,929.32/x
  3. Step 3: Cross multiply
    50,490x = 75,756.48 × 20,929.32
  4. Step 4: Simplify right side
    50,490x = 1,585,531,611.99
  5. Step 5: Solve for x
    x = 1,585,531,611.99/50,490
  6. Step 6: Final answer
    x = 31,402.88

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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.