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Finding the Fourth Proportional to 208,424.75, 287,612.80 and 116,551.61

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Solution

The fourth proportional to 208,424.75, 287,612.80 and 116,551.61 is: 160,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,424.75 : 287,612.80 = 116,551.61 : x
  2. Step 2: Convert to fraction form
    208,424.75/287,612.80 = 116,551.61/x
  3. Step 3: Cross multiply
    208,424.75x = 287,612.80 × 116,551.61
  4. Step 4: Simplify right side
    208,424.75x = 33,521,734,313.85
  5. Step 5: Solve for x
    x = 33,521,734,313.85/208,424.75
  6. Step 6: Final answer
    x = 160,833.75

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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.