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Finding the Fourth Proportional to 268,391.81, 402,589.44 and 78,851.41

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Solution

The fourth proportional to 268,391.81, 402,589.44 and 78,851.41 is: 118,277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,391.81 : 402,589.44 = 78,851.41 : x
  2. Step 2: Convert to fraction form
    268,391.81/402,589.44 = 78,851.41/x
  3. Step 3: Cross multiply
    268,391.81x = 402,589.44 × 78,851.41
  4. Step 4: Simplify right side
    268,391.81x = 31,744,743,988.64
  5. Step 5: Solve for x
    x = 31,744,743,988.64/268,391.81
  6. Step 6: Final answer
    x = 118,277.62

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Why These Related Problems?

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