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Finding the Fourth Proportional to 141,833, 212,785.96 and 53,087.78

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Solution

The fourth proportional to 141,833, 212,785.96 and 53,087.78 is: 79,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,833 : 212,785.96 = 53,087.78 : x
  2. Step 2: Convert to fraction form
    141,833/212,785.96 = 53,087.78/x
  3. Step 3: Cross multiply
    141,833x = 212,785.96 × 53,087.78
  4. Step 4: Simplify right side
    141,833x = 11,296,334,231.57
  5. Step 5: Solve for x
    x = 11,296,334,231.57/141,833
  6. Step 6: Final answer
    x = 79,645.32

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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.