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Finding the Fourth Proportional to 78,202.54, 117,285.70 and 46,621.45

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Solution

The fourth proportional to 78,202.54, 117,285.70 and 46,621.45 is: 69,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,202.54 : 117,285.70 = 46,621.45 : x
  2. Step 2: Convert to fraction form
    78,202.54/117,285.70 = 46,621.45/x
  3. Step 3: Cross multiply
    78,202.54x = 117,285.70 × 46,621.45
  4. Step 4: Simplify right side
    78,202.54x = 5,468,029,398.27
  5. Step 5: Solve for x
    x = 5,468,029,398.27/78,202.54
  6. Step 6: Final answer
    x = 69,921.38

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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.