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Finding the Fourth Proportional to 206,662.89, 309,705.63 and 111,688.32

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Solution

The fourth proportional to 206,662.89, 309,705.63 and 111,688.32 is: 167,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,662.89 : 309,705.63 = 111,688.32 : x
  2. Step 2: Convert to fraction form
    206,662.89/309,705.63 = 111,688.32/x
  3. Step 3: Cross multiply
    206,662.89x = 309,705.63 × 111,688.32
  4. Step 4: Simplify right side
    206,662.89x = 34,590,501,509.24
  5. Step 5: Solve for x
    x = 34,590,501,509.24/206,662.89
  6. Step 6: Final answer
    x = 167,376.45

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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.