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Finding the Fourth Proportional to 221,602.78, 305,812.62 and 121,000.78

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Solution

The fourth proportional to 221,602.78, 305,812.62 and 121,000.78 is: 166,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,602.78 : 305,812.62 = 121,000.78 : x
  2. Step 2: Convert to fraction form
    221,602.78/305,812.62 = 121,000.78/x
  3. Step 3: Cross multiply
    221,602.78x = 305,812.62 × 121,000.78
  4. Step 4: Simplify right side
    221,602.78x = 37,003,565,553.84
  5. Step 5: Solve for x
    x = 37,003,565,553.84/221,602.78
  6. Step 6: Final answer
    x = 166,981.50

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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.