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Finding the Fourth Proportional to 208,852.72, 288,216 and 113,359.40

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Solution

The fourth proportional to 208,852.72, 288,216 and 113,359.40 is: 156,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,852.72 : 288,216 = 113,359.40 : x
  2. Step 2: Convert to fraction form
    208,852.72/288,216 = 113,359.40/x
  3. Step 3: Cross multiply
    208,852.72x = 288,216 × 113,359.40
  4. Step 4: Simplify right side
    208,852.72x = 32,671,992,830.40
  5. Step 5: Solve for x
    x = 32,671,992,830.40/208,852.72
  6. Step 6: Final answer
    x = 156,435.56

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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.