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Finding the Fourth Proportional to 111,008.61, 166,537.50 and 51,811.98

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Solution

The fourth proportional to 111,008.61, 166,537.50 and 51,811.98 is: 77,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,008.61 : 166,537.50 = 51,811.98 : x
  2. Step 2: Convert to fraction form
    111,008.61/166,537.50 = 51,811.98/x
  3. Step 3: Cross multiply
    111,008.61x = 166,537.50 × 51,811.98
  4. Step 4: Simplify right side
    111,008.61x = 8,628,637,619.25
  5. Step 5: Solve for x
    x = 8,628,637,619.25/111,008.61
  6. Step 6: Final answer
    x = 77,729.44

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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.