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Finding the Fourth Proportional to 50,978.16, 76,463.46 and 21,394.80

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Solution

The fourth proportional to 50,978.16, 76,463.46 and 21,394.80 is: 32,090.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,978.16 : 76,463.46 = 21,394.80 : x
  2. Step 2: Convert to fraction form
    50,978.16/76,463.46 = 21,394.80/x
  3. Step 3: Cross multiply
    50,978.16x = 76,463.46 × 21,394.80
  4. Step 4: Simplify right side
    50,978.16x = 1,635,920,434.01
  5. Step 5: Solve for x
    x = 1,635,920,434.01/50,978.16
  6. Step 6: Final answer
    x = 32,090.61

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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.