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Finding the Fourth Proportional to 208,109.70, 312,164.55 and 74,994.30

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Solution

The fourth proportional to 208,109.70, 312,164.55 and 74,994.30 is: 112,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,109.70 : 312,164.55 = 74,994.30 : x
  2. Step 2: Convert to fraction form
    208,109.70/312,164.55 = 74,994.30/x
  3. Step 3: Cross multiply
    208,109.70x = 312,164.55 × 74,994.30
  4. Step 4: Simplify right side
    208,109.70x = 23,410,561,912.07
  5. Step 5: Solve for x
    x = 23,410,561,912.07/208,109.70
  6. Step 6: Final answer
    x = 112,491.45

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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.