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Finding the Fourth Proportional to 50,570, 75,855.12 and 18,978.80

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Solution

The fourth proportional to 50,570, 75,855.12 and 18,978.80 is: 28,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,570 : 75,855.12 = 18,978.80 : x
  2. Step 2: Convert to fraction form
    50,570/75,855.12 = 18,978.80/x
  3. Step 3: Cross multiply
    50,570x = 75,855.12 × 18,978.80
  4. Step 4: Simplify right side
    50,570x = 1,439,639,151.46
  5. Step 5: Solve for x
    x = 1,439,639,151.46/50,570
  6. Step 6: Final answer
    x = 28,468.25

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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.