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Finding the Fourth Proportional to 98,855.78, 148,305.54 and 28,729.22

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Solution

The fourth proportional to 98,855.78, 148,305.54 and 28,729.22 is: 43,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,855.78 : 148,305.54 = 28,729.22 : x
  2. Step 2: Convert to fraction form
    98,855.78/148,305.54 = 28,729.22/x
  3. Step 3: Cross multiply
    98,855.78x = 148,305.54 × 28,729.22
  4. Step 4: Simplify right side
    98,855.78x = 4,260,702,485.88
  5. Step 5: Solve for x
    x = 4,260,702,485.88/98,855.78
  6. Step 6: Final answer
    x = 43,100.19

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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.