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Finding the Fourth Proportional to 145,047.56, 200,162.43 and 80,512.98

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Solution

The fourth proportional to 145,047.56, 200,162.43 and 80,512.98 is: 111,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,047.56 : 200,162.43 = 80,512.98 : x
  2. Step 2: Convert to fraction form
    145,047.56/200,162.43 = 80,512.98/x
  3. Step 3: Cross multiply
    145,047.56x = 200,162.43 × 80,512.98
  4. Step 4: Simplify right side
    145,047.56x = 16,115,673,723.34
  5. Step 5: Solve for x
    x = 16,115,673,723.34/145,047.56
  6. Step 6: Final answer
    x = 111,106.14

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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.