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Finding the Fourth Proportional to 146,811.80, 205,813 and 146,811.80

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Solution

The fourth proportional to 146,811.80, 205,813 and 146,811.80 is: 205,813

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,811.80 : 205,813 = 146,811.80 : x
  2. Step 2: Convert to fraction form
    146,811.80/205,813 = 146,811.80/x
  3. Step 3: Cross multiply
    146,811.80x = 205,813 × 146,811.80
  4. Step 4: Simplify right side
    146,811.80x = 30,215,776,993.40
  5. Step 5: Solve for x
    x = 30,215,776,993.40/146,811.80
  6. Step 6: Final answer
    x = 205,813

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.