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Finding the Fourth Proportional to 53,691.88, 80,539.66 and 14,253

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Solution

The fourth proportional to 53,691.88, 80,539.66 and 14,253 is: 21,379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,691.88 : 80,539.66 = 14,253 : x
  2. Step 2: Convert to fraction form
    53,691.88/80,539.66 = 14,253/x
  3. Step 3: Cross multiply
    53,691.88x = 80,539.66 × 14,253
  4. Step 4: Simplify right side
    53,691.88x = 1,147,931,773.98
  5. Step 5: Solve for x
    x = 1,147,931,773.98/53,691.88
  6. Step 6: Final answer
    x = 21,379.99

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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.