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Finding the Fourth Proportional to 206,214.66, 309,316.32 and 65,971.26

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Solution

The fourth proportional to 206,214.66, 309,316.32 and 65,971.26 is: 98,955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,214.66 : 309,316.32 = 65,971.26 : x
  2. Step 2: Convert to fraction form
    206,214.66/309,316.32 = 65,971.26/x
  3. Step 3: Cross multiply
    206,214.66x = 309,316.32 × 65,971.26
  4. Step 4: Simplify right side
    206,214.66x = 20,405,987,368.96
  5. Step 5: Solve for x
    x = 20,405,987,368.96/206,214.66
  6. Step 6: Final answer
    x = 98,955.08

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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.