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Finding the Fourth Proportional to 86,057.70, 128,977.02 and 48,638.64

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Solution

The fourth proportional to 86,057.70, 128,977.02 and 48,638.64 is: 72,896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,057.70 : 128,977.02 = 48,638.64 : x
  2. Step 2: Convert to fraction form
    86,057.70/128,977.02 = 48,638.64/x
  3. Step 3: Cross multiply
    86,057.70x = 128,977.02 × 48,638.64
  4. Step 4: Simplify right side
    86,057.70x = 6,273,266,844.05
  5. Step 5: Solve for x
    x = 6,273,266,844.05/86,057.70
  6. Step 6: Final answer
    x = 72,896.06

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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.