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Finding the Fourth Proportional to 194,718.50, 268,711.54 and 105,294.50

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Solution

The fourth proportional to 194,718.50, 268,711.54 and 105,294.50 is: 145,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,718.50 : 268,711.54 = 105,294.50 : x
  2. Step 2: Convert to fraction form
    194,718.50/268,711.54 = 105,294.50/x
  3. Step 3: Cross multiply
    194,718.50x = 268,711.54 × 105,294.50
  4. Step 4: Simplify right side
    194,718.50x = 28,293,847,248.53
  5. Step 5: Solve for x
    x = 28,293,847,248.53/194,718.50
  6. Step 6: Final answer
    x = 145,306.42

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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.