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Finding the Fourth Proportional to 101,796.82, 152,718.02 and 30,720.70

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Solution

The fourth proportional to 101,796.82, 152,718.02 and 30,720.70 is: 46,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,796.82 : 152,718.02 = 30,720.70 : x
  2. Step 2: Convert to fraction form
    101,796.82/152,718.02 = 30,720.70/x
  3. Step 3: Cross multiply
    101,796.82x = 152,718.02 × 30,720.70
  4. Step 4: Simplify right side
    101,796.82x = 4,691,604,477.01
  5. Step 5: Solve for x
    x = 4,691,604,477.01/101,796.82
  6. Step 6: Final answer
    x = 46,087.93

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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.