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Finding the Fourth Proportional to 205,645.94, 283,779.60 and 113,759.72

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Solution

The fourth proportional to 205,645.94, 283,779.60 and 113,759.72 is: 156,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,645.94 : 283,779.60 = 113,759.72 : x
  2. Step 2: Convert to fraction form
    205,645.94/283,779.60 = 113,759.72/x
  3. Step 3: Cross multiply
    205,645.94x = 283,779.60 × 113,759.72
  4. Step 4: Simplify right side
    205,645.94x = 32,282,687,837.71
  5. Step 5: Solve for x
    x = 32,282,687,837.71/205,645.94
  6. Step 6: Final answer
    x = 156,981.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.