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Finding the Fourth Proportional to 206,171.42, 309,305.56 and 64,009.40

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Solution

The fourth proportional to 206,171.42, 309,305.56 and 64,009.40 is: 96,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,171.42 : 309,305.56 = 64,009.40 : x
  2. Step 2: Convert to fraction form
    206,171.42/309,305.56 = 64,009.40/x
  3. Step 3: Cross multiply
    206,171.42x = 309,305.56 × 64,009.40
  4. Step 4: Simplify right side
    206,171.42x = 19,798,463,312.26
  5. Step 5: Solve for x
    x = 19,798,463,312.26/206,171.42
  6. Step 6: Final answer
    x = 96,029.14

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1.5x scale

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.