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Finding the Fourth Proportional to 50,376, 75,567.12 and 15,318.24

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Solution

The fourth proportional to 50,376, 75,567.12 and 15,318.24 is: 22,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,376 : 75,567.12 = 15,318.24 : x
  2. Step 2: Convert to fraction form
    50,376/75,567.12 = 15,318.24/x
  3. Step 3: Cross multiply
    50,376x = 75,567.12 × 15,318.24
  4. Step 4: Simplify right side
    50,376x = 1,157,555,280.27
  5. Step 5: Solve for x
    x = 1,157,555,280.27/50,376
  6. Step 6: Final answer
    x = 22,978.31

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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.