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Finding the Fourth Proportional to 208,006.40, 311,894.40 and 89,657.60

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Solution

The fourth proportional to 208,006.40, 311,894.40 and 89,657.60 is: 134,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,006.40 : 311,894.40 = 89,657.60 : x
  2. Step 2: Convert to fraction form
    208,006.40/311,894.40 = 89,657.60/x
  3. Step 3: Cross multiply
    208,006.40x = 311,894.40 × 89,657.60
  4. Step 4: Simplify right side
    208,006.40x = 27,963,703,357.44
  5. Step 5: Solve for x
    x = 27,963,703,357.44/208,006.40
  6. Step 6: Final answer
    x = 134,436.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.