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Finding the Fourth Proportional to 268,217.16, 402,401.04 and 78,682

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Solution

The fourth proportional to 268,217.16, 402,401.04 and 78,682 is: 118,045.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,217.16 : 402,401.04 = 78,682 : x
  2. Step 2: Convert to fraction form
    268,217.16/402,401.04 = 78,682/x
  3. Step 3: Cross multiply
    268,217.16x = 402,401.04 × 78,682
  4. Step 4: Simplify right side
    268,217.16x = 31,661,718,629.28
  5. Step 5: Solve for x
    x = 31,661,718,629.28/268,217.16
  6. Step 6: Final answer
    x = 118,045.09

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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.