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Finding the Fourth Proportional to 85,807.49, 128,729.82 and 35,206.64

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Solution

The fourth proportional to 85,807.49, 128,729.82 and 35,206.64 is: 52,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,807.49 : 128,729.82 = 35,206.64 : x
  2. Step 2: Convert to fraction form
    85,807.49/128,729.82 = 35,206.64/x
  3. Step 3: Cross multiply
    85,807.49x = 128,729.82 × 35,206.64
  4. Step 4: Simplify right side
    85,807.49x = 4,532,143,786.36
  5. Step 5: Solve for x
    x = 4,532,143,786.36/85,807.49
  6. Step 6: Final answer
    x = 52,817.58

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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.