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Finding the Fourth Proportional to 120,739.40, 164,485.52 and 120,739.40

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Solution

The fourth proportional to 120,739.40, 164,485.52 and 120,739.40 is: 164,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,739.40 : 164,485.52 = 120,739.40 : x
  2. Step 2: Convert to fraction form
    120,739.40/164,485.52 = 120,739.40/x
  3. Step 3: Cross multiply
    120,739.40x = 164,485.52 × 120,739.40
  4. Step 4: Simplify right side
    120,739.40x = 19,859,882,993.49
  5. Step 5: Solve for x
    x = 19,859,882,993.49/120,739.40
  6. Step 6: Final answer
    x = 164,485.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.