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Finding the Fourth Proportional to 86,807.76, 130,176 and 27,627.54

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Solution

The fourth proportional to 86,807.76, 130,176 and 27,627.54 is: 41,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,807.76 : 130,176 = 27,627.54 : x
  2. Step 2: Convert to fraction form
    86,807.76/130,176 = 27,627.54/x
  3. Step 3: Cross multiply
    86,807.76x = 130,176 × 27,627.54
  4. Step 4: Simplify right side
    86,807.76x = 3,596,442,647.04
  5. Step 5: Solve for x
    x = 3,596,442,647.04/86,807.76
  6. Step 6: Final answer
    x = 41,429.97

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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.