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Finding the Fourth Proportional to 221,742.98, 306,005.21 and 119,768.42

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Solution

The fourth proportional to 221,742.98, 306,005.21 and 119,768.42 is: 165,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,742.98 : 306,005.21 = 119,768.42 : x
  2. Step 2: Convert to fraction form
    221,742.98/306,005.21 = 119,768.42/x
  3. Step 3: Cross multiply
    221,742.98x = 306,005.21 × 119,768.42
  4. Step 4: Simplify right side
    221,742.98x = 36,649,760,513.47
  5. Step 5: Solve for x
    x = 36,649,760,513.47/221,742.98
  6. Step 6: Final answer
    x = 165,280.36

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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.