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Finding the Fourth Proportional to 86,769.82, 130,203.74 and 40,022.70

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Solution

The fourth proportional to 86,769.82, 130,203.74 and 40,022.70 is: 60,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,769.82 : 130,203.74 = 40,022.70 : x
  2. Step 2: Convert to fraction form
    86,769.82/130,203.74 = 40,022.70/x
  3. Step 3: Cross multiply
    86,769.82x = 130,203.74 × 40,022.70
  4. Step 4: Simplify right side
    86,769.82x = 5,211,105,224.90
  5. Step 5: Solve for x
    x = 5,211,105,224.90/86,769.82
  6. Step 6: Final answer
    x = 60,056.66

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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.