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Finding the Fourth Proportional to 207,805.10, 311,592.45 and 83,005.10

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Solution

The fourth proportional to 207,805.10, 311,592.45 and 83,005.10 is: 124,461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,805.10 : 311,592.45 = 83,005.10 : x
  2. Step 2: Convert to fraction form
    207,805.10/311,592.45 = 83,005.10/x
  3. Step 3: Cross multiply
    207,805.10x = 311,592.45 × 83,005.10
  4. Step 4: Simplify right side
    207,805.10x = 25,863,762,471.50
  5. Step 5: Solve for x
    x = 25,863,762,471.50/207,805.10
  6. Step 6: Final answer
    x = 124,461.63

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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.