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Finding the Fourth Proportional to 53,602.78, 80,408.03 and 14,159.38

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Solution

The fourth proportional to 53,602.78, 80,408.03 and 14,159.38 is: 21,240.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,602.78 : 80,408.03 = 14,159.38 : x
  2. Step 2: Convert to fraction form
    53,602.78/80,408.03 = 14,159.38/x
  3. Step 3: Cross multiply
    53,602.78x = 80,408.03 × 14,159.38
  4. Step 4: Simplify right side
    53,602.78x = 1,138,527,851.82
  5. Step 5: Solve for x
    x = 1,138,527,851.82/53,602.78
  6. Step 6: Final answer
    x = 21,240.09

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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.