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Finding the Fourth Proportional to 100,647.40, 150,973.26 and 36,603.40

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Solution

The fourth proportional to 100,647.40, 150,973.26 and 36,603.40 is: 54,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,647.40 : 150,973.26 = 36,603.40 : x
  2. Step 2: Convert to fraction form
    100,647.40/150,973.26 = 36,603.40/x
  3. Step 3: Cross multiply
    100,647.40x = 150,973.26 × 36,603.40
  4. Step 4: Simplify right side
    100,647.40x = 5,526,134,625.08
  5. Step 5: Solve for x
    x = 5,526,134,625.08/100,647.40
  6. Step 6: Final answer
    x = 54,905.89

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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.