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Finding the Fourth Proportional to 213,013, 319,339.02 and 142,677

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Solution

The fourth proportional to 213,013, 319,339.02 and 142,677 is: 213,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,013 : 319,339.02 = 142,677 : x
  2. Step 2: Convert to fraction form
    213,013/319,339.02 = 142,677/x
  3. Step 3: Cross multiply
    213,013x = 319,339.02 × 142,677
  4. Step 4: Simplify right side
    213,013x = 45,562,333,356.54
  5. Step 5: Solve for x
    x = 45,562,333,356.54/213,013
  6. Step 6: Final answer
    x = 213,894.61

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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.