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Finding the Fourth Proportional to 188,678.57, 260,376.32 and 103,795.02

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Solution

The fourth proportional to 188,678.57, 260,376.32 and 103,795.02 is: 143,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,678.57 : 260,376.32 = 103,795.02 : x
  2. Step 2: Convert to fraction form
    188,678.57/260,376.32 = 103,795.02/x
  3. Step 3: Cross multiply
    188,678.57x = 260,376.32 × 103,795.02
  4. Step 4: Simplify right side
    188,678.57x = 27,025,765,601.41
  5. Step 5: Solve for x
    x = 27,025,765,601.41/188,678.57
  6. Step 6: Final answer
    x = 143,237.07

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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.