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Finding the Fourth Proportional to 212,902.10, 319,069.44 and 100,612.14

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Solution

The fourth proportional to 212,902.10, 319,069.44 and 100,612.14 is: 150,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,902.10 : 319,069.44 = 100,612.14 : x
  2. Step 2: Convert to fraction form
    212,902.10/319,069.44 = 100,612.14/x
  3. Step 3: Cross multiply
    212,902.10x = 319,069.44 × 100,612.14
  4. Step 4: Simplify right side
    212,902.10x = 32,102,259,167.00
  5. Step 5: Solve for x
    x = 32,102,259,167.00/212,902.10
  6. Step 6: Final answer
    x = 150,784.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.