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Finding the Fourth Proportional to 208,023.40, 311,991.90 and 89,698.60

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Solution

The fourth proportional to 208,023.40, 311,991.90 and 89,698.60 is: 134,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,023.40 : 311,991.90 = 89,698.60 : x
  2. Step 2: Convert to fraction form
    208,023.40/311,991.90 = 89,698.60/x
  3. Step 3: Cross multiply
    208,023.40x = 311,991.90 × 89,698.60
  4. Step 4: Simplify right side
    208,023.40x = 27,985,236,641.34
  5. Step 5: Solve for x
    x = 27,985,236,641.34/208,023.40
  6. Step 6: Final answer
    x = 134,529.27

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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.