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Finding the Fourth Proportional to 212,954.40, 319,480.20 and 72,711

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Solution

The fourth proportional to 212,954.40, 319,480.20 and 72,711 is: 109,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,954.40 : 319,480.20 = 72,711 : x
  2. Step 2: Convert to fraction form
    212,954.40/319,480.20 = 72,711/x
  3. Step 3: Cross multiply
    212,954.40x = 319,480.20 × 72,711
  4. Step 4: Simplify right side
    212,954.40x = 23,229,724,822.20
  5. Step 5: Solve for x
    x = 23,229,724,822.20/212,954.40
  6. Step 6: Final answer
    x = 109,083.09

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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.