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Finding the Fourth Proportional to 138,735.80, 208,103.70 and 96,745.40

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Solution

The fourth proportional to 138,735.80, 208,103.70 and 96,745.40 is: 145,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,735.80 : 208,103.70 = 96,745.40 : x
  2. Step 2: Convert to fraction form
    138,735.80/208,103.70 = 96,745.40/x
  3. Step 3: Cross multiply
    138,735.80x = 208,103.70 × 96,745.40
  4. Step 4: Simplify right side
    138,735.80x = 20,133,075,697.98
  5. Step 5: Solve for x
    x = 20,133,075,697.98/138,735.80
  6. Step 6: Final answer
    x = 145,118.10

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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.