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Finding the Fourth Proportional to 51,978.04, 77,975.26 and 16,909.52

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Solution

The fourth proportional to 51,978.04, 77,975.26 and 16,909.52 is: 25,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.04 : 77,975.26 = 16,909.52 : x
  2. Step 2: Convert to fraction form
    51,978.04/77,975.26 = 16,909.52/x
  3. Step 3: Cross multiply
    51,978.04x = 77,975.26 × 16,909.52
  4. Step 4: Simplify right side
    51,978.04x = 1,318,524,218.48
  5. Step 5: Solve for x
    x = 1,318,524,218.48/51,978.04
  6. Step 6: Final answer
    x = 25,366.95

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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.