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Finding the Fourth Proportional to 206,066.40, 309,099.60 and 72,945.60

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Solution

The fourth proportional to 206,066.40, 309,099.60 and 72,945.60 is: 109,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,066.40 : 309,099.60 = 72,945.60 : x
  2. Step 2: Convert to fraction form
    206,066.40/309,099.60 = 72,945.60/x
  3. Step 3: Cross multiply
    206,066.40x = 309,099.60 × 72,945.60
  4. Step 4: Simplify right side
    206,066.40x = 22,547,455,781.76
  5. Step 5: Solve for x
    x = 22,547,455,781.76/206,066.40
  6. Step 6: Final answer
    x = 109,418.40

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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.