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Finding the Fourth Proportional to 221,083, 305,096.70 and 120,483.16

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Solution

The fourth proportional to 221,083, 305,096.70 and 120,483.16 is: 166,267.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,083 : 305,096.70 = 120,483.16 : x
  2. Step 2: Convert to fraction form
    221,083/305,096.70 = 120,483.16/x
  3. Step 3: Cross multiply
    221,083x = 305,096.70 × 120,483.16
  4. Step 4: Simplify right side
    221,083x = 36,759,014,521.57
  5. Step 5: Solve for x
    x = 36,759,014,521.57/221,083
  6. Step 6: Final answer
    x = 166,267.94

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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.