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Finding the Fourth Proportional to 205,701.30, 308,394.72 and 142,352.82

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Solution

The fourth proportional to 205,701.30, 308,394.72 and 142,352.82 is: 213,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,701.30 : 308,394.72 = 142,352.82 : x
  2. Step 2: Convert to fraction form
    205,701.30/308,394.72 = 142,352.82/x
  3. Step 3: Cross multiply
    205,701.30x = 308,394.72 × 142,352.82
  4. Step 4: Simplify right side
    205,701.30x = 43,900,858,065.11
  5. Step 5: Solve for x
    x = 43,900,858,065.11/205,701.30
  6. Step 6: Final answer
    x = 213,420.42

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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.