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Finding the Fourth Proportional to 221,616, 305,830.08 and 121,014

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Solution

The fourth proportional to 221,616, 305,830.08 and 121,014 is: 166,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,616 : 305,830.08 = 121,014 : x
  2. Step 2: Convert to fraction form
    221,616/305,830.08 = 121,014/x
  3. Step 3: Cross multiply
    221,616x = 305,830.08 × 121,014
  4. Step 4: Simplify right side
    221,616x = 37,009,721,301.12
  5. Step 5: Solve for x
    x = 37,009,721,301.12/221,616
  6. Step 6: Final answer
    x = 166,999.32

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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.