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Finding the Fourth Proportional to 78,198.84, 117,280.29 and 46,617.84

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Solution

The fourth proportional to 78,198.84, 117,280.29 and 46,617.84 is: 69,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,198.84 : 117,280.29 = 46,617.84 : x
  2. Step 2: Convert to fraction form
    78,198.84/117,280.29 = 46,617.84/x
  3. Step 3: Cross multiply
    78,198.84x = 117,280.29 × 46,617.84
  4. Step 4: Simplify right side
    78,198.84x = 5,467,353,794.37
  5. Step 5: Solve for x
    x = 5,467,353,794.37/78,198.84
  6. Step 6: Final answer
    x = 69,916.05

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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.