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Finding the Fourth Proportional to 145,202.40, 217,544.40 and 122,911.20

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Solution

The fourth proportional to 145,202.40, 217,544.40 and 122,911.20 is: 184,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,202.40 : 217,544.40 = 122,911.20 : x
  2. Step 2: Convert to fraction form
    145,202.40/217,544.40 = 122,911.20/x
  3. Step 3: Cross multiply
    145,202.40x = 217,544.40 × 122,911.20
  4. Step 4: Simplify right side
    145,202.40x = 26,738,643,257.28
  5. Step 5: Solve for x
    x = 26,738,643,257.28/145,202.40
  6. Step 6: Final answer
    x = 184,147.39

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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.