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Finding the Fourth Proportional to 102,711.60, 154,297.80 and 98,794.80

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Solution

The fourth proportional to 102,711.60, 154,297.80 and 98,794.80 is: 148,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,711.60 : 154,297.80 = 98,794.80 : x
  2. Step 2: Convert to fraction form
    102,711.60/154,297.80 = 98,794.80/x
  3. Step 3: Cross multiply
    102,711.60x = 154,297.80 × 98,794.80
  4. Step 4: Simplify right side
    102,711.60x = 15,243,820,291.44
  5. Step 5: Solve for x
    x = 15,243,820,291.44/102,711.60
  6. Step 6: Final answer
    x = 148,413.81

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1.5x scale

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.