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Finding the Fourth Proportional to 208,796.87, 288,140.46 and 113,303.54

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Solution

The fourth proportional to 208,796.87, 288,140.46 and 113,303.54 is: 156,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,796.87 : 288,140.46 = 113,303.54 : x
  2. Step 2: Convert to fraction form
    208,796.87/288,140.46 = 113,303.54/x
  3. Step 3: Cross multiply
    208,796.87x = 288,140.46 × 113,303.54
  4. Step 4: Simplify right side
    208,796.87x = 32,647,334,430.69
  5. Step 5: Solve for x
    x = 32,647,334,430.69/208,796.87
  6. Step 6: Final answer
    x = 156,359.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.