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Finding the Fourth Proportional to 212,776.28, 319,237.32 and 72,633.32

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Solution

The fourth proportional to 212,776.28, 319,237.32 and 72,633.32 is: 108,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,776.28 : 319,237.32 = 72,633.32 : x
  2. Step 2: Convert to fraction form
    212,776.28/319,237.32 = 72,633.32/x
  3. Step 3: Cross multiply
    212,776.28x = 319,237.32 × 72,633.32
  4. Step 4: Simplify right side
    212,776.28x = 23,187,264,823.32
  5. Step 5: Solve for x
    x = 23,187,264,823.32/212,776.28
  6. Step 6: Final answer
    x = 108,974.86

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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.