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Finding the Fourth Proportional to 141,978.25, 212,905.22 and 53,169.47

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Solution

The fourth proportional to 141,978.25, 212,905.22 and 53,169.47 is: 79,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,978.25 : 212,905.22 = 53,169.47 : x
  2. Step 2: Convert to fraction form
    141,978.25/212,905.22 = 53,169.47/x
  3. Step 3: Cross multiply
    141,978.25x = 212,905.22 × 53,169.47
  4. Step 4: Simplify right side
    141,978.25x = 11,320,058,204.61
  5. Step 5: Solve for x
    x = 11,320,058,204.61/141,978.25
  6. Step 6: Final answer
    x = 79,730.93

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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.