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Finding the Fourth Proportional to 221,772.78, 306,046.52 and 119,798.23

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Solution

The fourth proportional to 221,772.78, 306,046.52 and 119,798.23 is: 165,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,772.78 : 306,046.52 = 119,798.23 : x
  2. Step 2: Convert to fraction form
    221,772.78/306,046.52 = 119,798.23/x
  3. Step 3: Cross multiply
    221,772.78x = 306,046.52 × 119,798.23
  4. Step 4: Simplify right side
    221,772.78x = 36,663,831,393.66
  5. Step 5: Solve for x
    x = 36,663,831,393.66/221,772.78
  6. Step 6: Final answer
    x = 165,321.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.