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Finding the Fourth Proportional to 213,201, 319,803.12 and 72,960.84

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Solution

The fourth proportional to 213,201, 319,803.12 and 72,960.84 is: 109,441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,201 : 319,803.12 = 72,960.84 : x
  2. Step 2: Convert to fraction form
    213,201/319,803.12 = 72,960.84/x
  3. Step 3: Cross multiply
    213,201x = 319,803.12 × 72,960.84
  4. Step 4: Simplify right side
    213,201x = 23,333,104,269.82
  5. Step 5: Solve for x
    x = 23,333,104,269.82/213,201
  6. Step 6: Final answer
    x = 109,441.81

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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.