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Finding the Fourth Proportional to 65,413.92, 90,258.87 and 38,564.85

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Solution

The fourth proportional to 65,413.92, 90,258.87 and 38,564.85 is: 53,212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,413.92 : 90,258.87 = 38,564.85 : x
  2. Step 2: Convert to fraction form
    65,413.92/90,258.87 = 38,564.85/x
  3. Step 3: Cross multiply
    65,413.92x = 90,258.87 × 38,564.85
  4. Step 4: Simplify right side
    65,413.92x = 3,480,819,782.72
  5. Step 5: Solve for x
    x = 3,480,819,782.72/65,413.92
  6. Step 6: Final answer
    x = 53,212.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.