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Finding the Fourth Proportional to 50,478.90, 75,712.32 and 20,893.20

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Solution

The fourth proportional to 50,478.90, 75,712.32 and 20,893.20 is: 31,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,478.90 : 75,712.32 = 20,893.20 : x
  2. Step 2: Convert to fraction form
    50,478.90/75,712.32 = 20,893.20/x
  3. Step 3: Cross multiply
    50,478.90x = 75,712.32 × 20,893.20
  4. Step 4: Simplify right side
    50,478.90x = 1,581,872,644.22
  5. Step 5: Solve for x
    x = 1,581,872,644.22/50,478.90
  6. Step 6: Final answer
    x = 31,337.30

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1.5x scale

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.