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Finding the Fourth Proportional to 213,010, 319,334.52 and 142,674

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Solution

The fourth proportional to 213,010, 319,334.52 and 142,674 is: 213,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,010 : 319,334.52 = 142,674 : x
  2. Step 2: Convert to fraction form
    213,010/319,334.52 = 142,674/x
  3. Step 3: Cross multiply
    213,010x = 319,334.52 × 142,674
  4. Step 4: Simplify right side
    213,010x = 45,560,733,306.48
  5. Step 5: Solve for x
    x = 45,560,733,306.48/213,010
  6. Step 6: Final answer
    x = 213,890.11

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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.