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Finding the Fourth Proportional to 201,139.20, 301,878.90 and 82,895.40

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Solution

The fourth proportional to 201,139.20, 301,878.90 and 82,895.40 is: 124,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,139.20 : 301,878.90 = 82,895.40 : x
  2. Step 2: Convert to fraction form
    201,139.20/301,878.90 = 82,895.40/x
  3. Step 3: Cross multiply
    201,139.20x = 301,878.90 × 82,895.40
  4. Step 4: Simplify right side
    201,139.20x = 25,024,372,167.06
  5. Step 5: Solve for x
    x = 25,024,372,167.06/201,139.20
  6. Step 6: Final answer
    x = 124,413.20

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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.