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Finding the Fourth Proportional to 221,092, 305,109.12 and 120,492.16

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Solution

The fourth proportional to 221,092, 305,109.12 and 120,492.16 is: 166,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,092 : 305,109.12 = 120,492.16 : x
  2. Step 2: Convert to fraction form
    221,092/305,109.12 = 120,492.16/x
  3. Step 3: Cross multiply
    221,092x = 305,109.12 × 120,492.16
  4. Step 4: Simplify right side
    221,092x = 36,763,256,904.50
  5. Step 5: Solve for x
    x = 36,763,256,904.50/221,092
  6. Step 6: Final answer
    x = 166,280.36

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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.