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Finding the Fourth Proportional to 207,878.40, 311,744.70 and 108,005.40

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Solution

The fourth proportional to 207,878.40, 311,744.70 and 108,005.40 is: 161,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,878.40 : 311,744.70 = 108,005.40 : x
  2. Step 2: Convert to fraction form
    207,878.40/311,744.70 = 108,005.40/x
  3. Step 3: Cross multiply
    207,878.40x = 311,744.70 × 108,005.40
  4. Step 4: Simplify right side
    207,878.40x = 33,670,111,021.38
  5. Step 5: Solve for x
    x = 33,670,111,021.38/207,878.40
  6. Step 6: Final answer
    x = 161,970.22

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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.