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Finding the Fourth Proportional to 213,283.60, 319,679.34 and 80,078.89

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Solution

The fourth proportional to 213,283.60, 319,679.34 and 80,078.89 is: 120,025.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,283.60 : 319,679.34 = 80,078.89 : x
  2. Step 2: Convert to fraction form
    213,283.60/319,679.34 = 80,078.89/x
  3. Step 3: Cross multiply
    213,283.60x = 319,679.34 × 80,078.89
  4. Step 4: Simplify right side
    213,283.60x = 25,599,566,703.13
  5. Step 5: Solve for x
    x = 25,599,566,703.13/213,283.60
  6. Step 6: Final answer
    x = 120,025.95

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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.