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Finding the Fourth Proportional to 120,782.37, 166,695.05 and 73,036.06

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Solution

The fourth proportional to 120,782.37, 166,695.05 and 73,036.06 is: 100,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,782.37 : 166,695.05 = 73,036.06 : x
  2. Step 2: Convert to fraction form
    120,782.37/166,695.05 = 73,036.06/x
  3. Step 3: Cross multiply
    120,782.37x = 166,695.05 × 73,036.06
  4. Step 4: Simplify right side
    120,782.37x = 12,174,748,891.59
  5. Step 5: Solve for x
    x = 12,174,748,891.59/120,782.37
  6. Step 6: Final answer
    x = 100,799.06

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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.