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Finding the Fourth Proportional to 78,204.75, 117,011.88 and 48,483.42

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Solution

The fourth proportional to 78,204.75, 117,011.88 and 48,483.42 is: 72,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,204.75 : 117,011.88 = 48,483.42 : x
  2. Step 2: Convert to fraction form
    78,204.75/117,011.88 = 48,483.42/x
  3. Step 3: Cross multiply
    78,204.75x = 117,011.88 × 48,483.42
  4. Step 4: Simplify right side
    78,204.75x = 5,673,136,123.03
  5. Step 5: Solve for x
    x = 5,673,136,123.03/78,204.75
  6. Step 6: Final answer
    x = 72,542.09

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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.