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Finding the Fourth Proportional to 213,185.82, 319,671.76 and 70,981.01

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Solution

The fourth proportional to 213,185.82, 319,671.76 and 70,981.01 is: 106,435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,185.82 : 319,671.76 = 70,981.01 : x
  2. Step 2: Convert to fraction form
    213,185.82/319,671.76 = 70,981.01/x
  3. Step 3: Cross multiply
    213,185.82x = 319,671.76 × 70,981.01
  4. Step 4: Simplify right side
    213,185.82x = 22,690,622,794.92
  5. Step 5: Solve for x
    x = 22,690,622,794.92/213,185.82
  6. Step 6: Final answer
    x = 106,435.89

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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.