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Finding the Fourth Proportional to 188,665.65, 260,362.63 and 103,782.71

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Solution

The fourth proportional to 188,665.65, 260,362.63 and 103,782.71 is: 143,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,665.65 : 260,362.63 = 103,782.71 : x
  2. Step 2: Convert to fraction form
    188,665.65/260,362.63 = 103,782.71/x
  3. Step 3: Cross multiply
    188,665.65x = 260,362.63 × 103,782.71
  4. Step 4: Simplify right side
    188,665.65x = 27,021,139,715.58
  5. Step 5: Solve for x
    x = 27,021,139,715.58/188,665.65
  6. Step 6: Final answer
    x = 143,222.36

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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.