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Finding the Fourth Proportional to 221,903.68, 306,140 and 136,872.64

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Solution

The fourth proportional to 221,903.68, 306,140 and 136,872.64 is: 188,830.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,903.68 : 306,140 = 136,872.64 : x
  2. Step 2: Convert to fraction form
    221,903.68/306,140 = 136,872.64/x
  3. Step 3: Cross multiply
    221,903.68x = 306,140 × 136,872.64
  4. Step 4: Simplify right side
    221,903.68x = 41,902,190,009.60
  5. Step 5: Solve for x
    x = 41,902,190,009.60/221,903.68
  6. Step 6: Final answer
    x = 188,830.53

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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.