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Finding the Fourth Proportional to 86,784.81, 130,251.18 and 34,231.20

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Solution

The fourth proportional to 86,784.81, 130,251.18 and 34,231.20 is: 51,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,784.81 : 130,251.18 = 34,231.20 : x
  2. Step 2: Convert to fraction form
    86,784.81/130,251.18 = 34,231.20/x
  3. Step 3: Cross multiply
    86,784.81x = 130,251.18 × 34,231.20
  4. Step 4: Simplify right side
    86,784.81x = 4,458,654,192.82
  5. Step 5: Solve for x
    x = 4,458,654,192.82/86,784.81
  6. Step 6: Final answer
    x = 51,375.97

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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.