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Finding the Fourth Proportional to 70,937.94, 106,413.06 and 20,337.20

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Solution

The fourth proportional to 70,937.94, 106,413.06 and 20,337.20 is: 30,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,937.94 : 106,413.06 = 20,337.20 : x
  2. Step 2: Convert to fraction form
    70,937.94/106,413.06 = 20,337.20/x
  3. Step 3: Cross multiply
    70,937.94x = 106,413.06 × 20,337.20
  4. Step 4: Simplify right side
    70,937.94x = 2,164,143,683.83
  5. Step 5: Solve for x
    x = 2,164,143,683.83/70,937.94
  6. Step 6: Final answer
    x = 30,507.56

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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.