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Finding the Fourth Proportional to 85,710.87, 128,586.83 and 35,763.26

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Solution

The fourth proportional to 85,710.87, 128,586.83 and 35,763.26 is: 53,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,710.87 : 128,586.83 = 35,763.26 : x
  2. Step 2: Convert to fraction form
    85,710.87/128,586.83 = 35,763.26/x
  3. Step 3: Cross multiply
    85,710.87x = 128,586.83 × 35,763.26
  4. Step 4: Simplify right side
    85,710.87x = 4,598,683,412.12
  5. Step 5: Solve for x
    x = 4,598,683,412.12/85,710.87
  6. Step 6: Final answer
    x = 53,653.44

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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.