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Finding the Fourth Proportional to 78,138.62, 107,831.58 and 42,328.54

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Solution

The fourth proportional to 78,138.62, 107,831.58 and 42,328.54 is: 58,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,138.62 : 107,831.58 = 42,328.54 : x
  2. Step 2: Convert to fraction form
    78,138.62/107,831.58 = 42,328.54/x
  3. Step 3: Cross multiply
    78,138.62x = 107,831.58 × 42,328.54
  4. Step 4: Simplify right side
    78,138.62x = 4,564,353,135.65
  5. Step 5: Solve for x
    x = 4,564,353,135.65/78,138.62
  6. Step 6: Final answer
    x = 58,413.54

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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.