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Finding the Fourth Proportional to 224,088, 309,241.44 and 123,486

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Solution

The fourth proportional to 224,088, 309,241.44 and 123,486 is: 170,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,088 : 309,241.44 = 123,486 : x
  2. Step 2: Convert to fraction form
    224,088/309,241.44 = 123,486/x
  3. Step 3: Cross multiply
    224,088x = 309,241.44 × 123,486
  4. Step 4: Simplify right side
    224,088x = 38,186,988,459.84
  5. Step 5: Solve for x
    x = 38,186,988,459.84/224,088
  6. Step 6: Final answer
    x = 170,410.68

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Why These Related Problems?

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