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Finding the Fourth Proportional to 210,672.42, 315,944.37 and 110,778.42

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Solution

The fourth proportional to 210,672.42, 315,944.37 and 110,778.42 is: 166,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,672.42 : 315,944.37 = 110,778.42 : x
  2. Step 2: Convert to fraction form
    210,672.42/315,944.37 = 110,778.42/x
  3. Step 3: Cross multiply
    210,672.42x = 315,944.37 × 110,778.42
  4. Step 4: Simplify right side
    210,672.42x = 34,999,818,116.50
  5. Step 5: Solve for x
    x = 34,999,818,116.50/210,672.42
  6. Step 6: Final answer
    x = 166,133.84

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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.