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Finding the Fourth Proportional to 85,506.40, 128,413.20 and 82,741.60

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Solution

The fourth proportional to 85,506.40, 128,413.20 and 82,741.60 is: 124,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,506.40 : 128,413.20 = 82,741.60 : x
  2. Step 2: Convert to fraction form
    85,506.40/128,413.20 = 82,741.60/x
  3. Step 3: Cross multiply
    85,506.40x = 128,413.20 × 82,741.60
  4. Step 4: Simplify right side
    85,506.40x = 10,625,113,629.12
  5. Step 5: Solve for x
    x = 10,625,113,629.12/85,506.40
  6. Step 6: Final answer
    x = 124,261.03

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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.