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Finding the Fourth Proportional to 50,977.97, 76,483.21 and 21,387.86

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Solution

The fourth proportional to 50,977.97, 76,483.21 and 21,387.86 is: 32,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,977.97 : 76,483.21 = 21,387.86 : x
  2. Step 2: Convert to fraction form
    50,977.97/76,483.21 = 21,387.86/x
  3. Step 3: Cross multiply
    50,977.97x = 76,483.21 × 21,387.86
  4. Step 4: Simplify right side
    50,977.97x = 1,635,812,080.89
  5. Step 5: Solve for x
    x = 1,635,812,080.89/50,977.97
  6. Step 6: Final answer
    x = 32,088.61

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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.