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Finding the Fourth Proportional to 141,714.91, 212,321.71 and 133,285.87

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Solution

The fourth proportional to 141,714.91, 212,321.71 and 133,285.87 is: 199,693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,714.91 : 212,321.71 = 133,285.87 : x
  2. Step 2: Convert to fraction form
    141,714.91/212,321.71 = 133,285.87/x
  3. Step 3: Cross multiply
    141,714.91x = 212,321.71 × 133,285.87
  4. Step 4: Simplify right side
    141,714.91x = 28,299,483,837.24
  5. Step 5: Solve for x
    x = 28,299,483,837.24/141,714.91
  6. Step 6: Final answer
    x = 199,693.06

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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.