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Finding the Fourth Proportional to 208,715.12, 288,024.64 and 113,221

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Solution

The fourth proportional to 208,715.12, 288,024.64 and 113,221 is: 156,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,715.12 : 288,024.64 = 113,221 : x
  2. Step 2: Convert to fraction form
    208,715.12/288,024.64 = 113,221/x
  3. Step 3: Cross multiply
    208,715.12x = 288,024.64 × 113,221
  4. Step 4: Simplify right side
    208,715.12x = 32,610,437,765.44
  5. Step 5: Solve for x
    x = 32,610,437,765.44/208,715.12
  6. Step 6: Final answer
    x = 156,243.77

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