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Finding the Fourth Proportional to 86,797.38, 130,082.31 and 49,374.66

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Solution

The fourth proportional to 86,797.38, 130,082.31 and 49,374.66 is: 73,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,797.38 : 130,082.31 = 49,374.66 : x
  2. Step 2: Convert to fraction form
    86,797.38/130,082.31 = 49,374.66/x
  3. Step 3: Cross multiply
    86,797.38x = 130,082.31 × 49,374.66
  4. Step 4: Simplify right side
    86,797.38x = 6,422,769,828.26
  5. Step 5: Solve for x
    x = 6,422,769,828.26/86,797.38
  6. Step 6: Final answer
    x = 73,997.28

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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.