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Finding the Fourth Proportional to 206,090.60, 309,078.80 and 72,953.34

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Solution

The fourth proportional to 206,090.60, 309,078.80 and 72,953.34 is: 109,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,090.60 : 309,078.80 = 72,953.34 : x
  2. Step 2: Convert to fraction form
    206,090.60/309,078.80 = 72,953.34/x
  3. Step 3: Cross multiply
    206,090.60x = 309,078.80 × 72,953.34
  4. Step 4: Simplify right side
    206,090.60x = 22,548,330,783.19
  5. Step 5: Solve for x
    x = 22,548,330,783.19/206,090.60
  6. Step 6: Final answer
    x = 109,409.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.