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Finding the Fourth Proportional to 51,679.52, 77,505.10 and 14,230.80

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Solution

The fourth proportional to 51,679.52, 77,505.10 and 14,230.80 is: 21,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,679.52 : 77,505.10 = 14,230.80 : x
  2. Step 2: Convert to fraction form
    51,679.52/77,505.10 = 14,230.80/x
  3. Step 3: Cross multiply
    51,679.52x = 77,505.10 × 14,230.80
  4. Step 4: Simplify right side
    51,679.52x = 1,102,959,577.08
  5. Step 5: Solve for x
    x = 1,102,959,577.08/51,679.52
  6. Step 6: Final answer
    x = 21,342.30

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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.