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Finding the Fourth Proportional to 224,435.57, 309,727.56 and 123,840.05

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Solution

The fourth proportional to 224,435.57, 309,727.56 and 123,840.05 is: 170,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,435.57 : 309,727.56 = 123,840.05 : x
  2. Step 2: Convert to fraction form
    224,435.57/309,727.56 = 123,840.05/x
  3. Step 3: Cross multiply
    224,435.57x = 309,727.56 × 123,840.05
  4. Step 4: Simplify right side
    224,435.57x = 38,356,674,968.14
  5. Step 5: Solve for x
    x = 38,356,674,968.14/224,435.57
  6. Step 6: Final answer
    x = 170,902.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.