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Finding the Fourth Proportional to 141,489.66, 212,183.13 and 77,495.34

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Solution

The fourth proportional to 141,489.66, 212,183.13 and 77,495.34 is: 116,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,489.66 : 212,183.13 = 77,495.34 : x
  2. Step 2: Convert to fraction form
    141,489.66/212,183.13 = 77,495.34/x
  3. Step 3: Cross multiply
    141,489.66x = 212,183.13 × 77,495.34
  4. Step 4: Simplify right side
    141,489.66x = 16,443,203,801.61
  5. Step 5: Solve for x
    x = 16,443,203,801.61/141,489.66
  6. Step 6: Final answer
    x = 116,214.88

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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.