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Finding the Fourth Proportional to 78,202.59, 117,285.87 and 46,621.54

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Solution

The fourth proportional to 78,202.59, 117,285.87 and 46,621.54 is: 69,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,202.59 : 117,285.87 = 46,621.54 : x
  2. Step 2: Convert to fraction form
    78,202.59/117,285.87 = 46,621.54/x
  3. Step 3: Cross multiply
    78,202.59x = 117,285.87 × 46,621.54
  4. Step 4: Simplify right side
    78,202.59x = 5,468,047,879.64
  5. Step 5: Solve for x
    x = 5,468,047,879.64/78,202.59
  6. Step 6: Final answer
    x = 69,921.57

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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.