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Finding the Fourth Proportional to 207,783.40, 311,675.10 and 83,213.80

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Solution

The fourth proportional to 207,783.40, 311,675.10 and 83,213.80 is: 124,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,783.40 : 311,675.10 = 83,213.80 : x
  2. Step 2: Convert to fraction form
    207,783.40/311,675.10 = 83,213.80/x
  3. Step 3: Cross multiply
    207,783.40x = 311,675.10 × 83,213.80
  4. Step 4: Simplify right side
    207,783.40x = 25,935,669,436.38
  5. Step 5: Solve for x
    x = 25,935,669,436.38/207,783.40
  6. Step 6: Final answer
    x = 124,820.70

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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.