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Finding the Fourth Proportional to 208,399.65, 287,591.83 and 112,906.35

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Solution

The fourth proportional to 208,399.65, 287,591.83 and 112,906.35 is: 155,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,399.65 : 287,591.83 = 112,906.35 : x
  2. Step 2: Convert to fraction form
    208,399.65/287,591.83 = 112,906.35/x
  3. Step 3: Cross multiply
    208,399.65x = 287,591.83 × 112,906.35
  4. Step 4: Simplify right side
    208,399.65x = 32,470,943,815.12
  5. Step 5: Solve for x
    x = 32,470,943,815.12/208,399.65
  6. Step 6: Final answer
    x = 155,810.93

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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.