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Finding the Fourth Proportional to 202,911.06, 280,015.74 and 113,487.06

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Solution

The fourth proportional to 202,911.06, 280,015.74 and 113,487.06 is: 156,611.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,911.06 : 280,015.74 = 113,487.06 : x
  2. Step 2: Convert to fraction form
    202,911.06/280,015.74 = 113,487.06/x
  3. Step 3: Cross multiply
    202,911.06x = 280,015.74 × 113,487.06
  4. Step 4: Simplify right side
    202,911.06x = 31,778,163,086.32
  5. Step 5: Solve for x
    x = 31,778,163,086.32/202,911.06
  6. Step 6: Final answer
    x = 156,611.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.