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Finding the Fourth Proportional to 78,198.75, 117,002.88 and 48,477.42

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Solution

The fourth proportional to 78,198.75, 117,002.88 and 48,477.42 is: 72,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,198.75 : 117,002.88 = 48,477.42 : x
  2. Step 2: Convert to fraction form
    78,198.75/117,002.88 = 48,477.42/x
  3. Step 3: Cross multiply
    78,198.75x = 117,002.88 × 48,477.42
  4. Step 4: Simplify right side
    78,198.75x = 5,671,997,754.97
  5. Step 5: Solve for x
    x = 5,671,997,754.97/78,198.75
  6. Step 6: Final answer
    x = 72,533.10

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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.