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Finding the Fourth Proportional to 103,285.27, 154,915.60 and 28,413.02

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Solution

The fourth proportional to 103,285.27, 154,915.60 and 28,413.02 is: 42,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,285.27 : 154,915.60 = 28,413.02 : x
  2. Step 2: Convert to fraction form
    103,285.27/154,915.60 = 28,413.02/x
  3. Step 3: Cross multiply
    103,285.27x = 154,915.60 × 28,413.02
  4. Step 4: Simplify right side
    103,285.27x = 4,401,620,041.11
  5. Step 5: Solve for x
    x = 4,401,620,041.11/103,285.27
  6. Step 6: Final answer
    x = 42,616.14

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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.