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Finding the Fourth Proportional to 78,452, 117,678 and 23,048

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Solution

The fourth proportional to 78,452, 117,678 and 23,048 is: 34,572

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,452 : 117,678 = 23,048 : x
  2. Step 2: Convert to fraction form
    78,452/117,678 = 23,048/x
  3. Step 3: Cross multiply
    78,452x = 117,678 × 23,048
  4. Step 4: Simplify right side
    78,452x = 2,712,242,544
  5. Step 5: Solve for x
    x = 2,712,242,544/78,452
  6. Step 6: Final answer
    x = 34,572

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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.