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Finding the Fourth Proportional to 213,043.37, 319,564.67 and 124,234.59

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Solution

The fourth proportional to 213,043.37, 319,564.67 and 124,234.59 is: 186,351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,043.37 : 319,564.67 = 124,234.59 : x
  2. Step 2: Convert to fraction form
    213,043.37/319,564.67 = 124,234.59/x
  3. Step 3: Cross multiply
    213,043.37x = 319,564.67 × 124,234.59
  4. Step 4: Simplify right side
    213,043.37x = 39,700,985,134.76
  5. Step 5: Solve for x
    x = 39,700,985,134.76/213,043.37
  6. Step 6: Final answer
    x = 186,351.66

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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.