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Finding the Fourth Proportional to 208,783.84, 288,121.36 and 113,290.56

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Solution

The fourth proportional to 208,783.84, 288,121.36 and 113,290.56 is: 156,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,783.84 : 288,121.36 = 113,290.56 : x
  2. Step 2: Convert to fraction form
    208,783.84/288,121.36 = 113,290.56/x
  3. Step 3: Cross multiply
    208,783.84x = 288,121.36 × 113,290.56
  4. Step 4: Simplify right side
    208,783.84x = 32,641,430,222.36
  5. Step 5: Solve for x
    x = 32,641,430,222.36/208,783.84
  6. Step 6: Final answer
    x = 156,340.79

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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.