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Finding the Fourth Proportional to 188,646.70, 282,872.65 and 55,509.65

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Solution

The fourth proportional to 188,646.70, 282,872.65 and 55,509.65 is: 83,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,646.70 : 282,872.65 = 55,509.65 : x
  2. Step 2: Convert to fraction form
    188,646.70/282,872.65 = 55,509.65/x
  3. Step 3: Cross multiply
    188,646.70x = 282,872.65 × 55,509.65
  4. Step 4: Simplify right side
    188,646.70x = 15,702,161,796.07
  5. Step 5: Solve for x
    x = 15,702,161,796.07/188,646.70
  6. Step 6: Final answer
    x = 83,235.81

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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.