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Finding the Fourth Proportional to 213,098.40, 319,793.40 and 118,328.40

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Solution

The fourth proportional to 213,098.40, 319,793.40 and 118,328.40 is: 177,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,098.40 : 319,793.40 = 118,328.40 : x
  2. Step 2: Convert to fraction form
    213,098.40/319,793.40 = 118,328.40/x
  3. Step 3: Cross multiply
    213,098.40x = 319,793.40 × 118,328.40
  4. Step 4: Simplify right side
    213,098.40x = 37,840,641,352.56
  5. Step 5: Solve for x
    x = 37,840,641,352.56/213,098.40
  6. Step 6: Final answer
    x = 177,573.56

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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.