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Finding the Fourth Proportional to 194,842, 268,881.96 and 105,418

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Solution

The fourth proportional to 194,842, 268,881.96 and 105,418 is: 145,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,842 : 268,881.96 = 105,418 : x
  2. Step 2: Convert to fraction form
    194,842/268,881.96 = 105,418/x
  3. Step 3: Cross multiply
    194,842x = 268,881.96 × 105,418
  4. Step 4: Simplify right side
    194,842x = 28,344,998,459.28
  5. Step 5: Solve for x
    x = 28,344,998,459.28/194,842
  6. Step 6: Final answer
    x = 145,476.84

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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.