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Finding the Fourth Proportional to 77,525.94, 106,927.26 and 66,789

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Solution

The fourth proportional to 77,525.94, 106,927.26 and 66,789 is: 92,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,525.94 : 106,927.26 = 66,789 : x
  2. Step 2: Convert to fraction form
    77,525.94/106,927.26 = 66,789/x
  3. Step 3: Cross multiply
    77,525.94x = 106,927.26 × 66,789
  4. Step 4: Simplify right side
    77,525.94x = 7,141,564,768.14
  5. Step 5: Solve for x
    x = 7,141,564,768.14/77,525.94
  6. Step 6: Final answer
    x = 92,118.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.