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Finding the Fourth Proportional to 208,842.81, 288,203.30 and 113,349.56

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Solution

The fourth proportional to 208,842.81, 288,203.30 and 113,349.56 is: 156,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,842.81 : 288,203.30 = 113,349.56 : x
  2. Step 2: Convert to fraction form
    208,842.81/288,203.30 = 113,349.56/x
  3. Step 3: Cross multiply
    208,842.81x = 288,203.30 × 113,349.56
  4. Step 4: Simplify right side
    208,842.81x = 32,667,715,237.78
  5. Step 5: Solve for x
    x = 32,667,715,237.78/208,842.81
  6. Step 6: Final answer
    x = 156,422.50

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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.