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Finding the Fourth Proportional to 188,279.51, 282,419.25 and 55,159.76

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Solution

The fourth proportional to 188,279.51, 282,419.25 and 55,159.76 is: 82,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,279.51 : 282,419.25 = 55,159.76 : x
  2. Step 2: Convert to fraction form
    188,279.51/282,419.25 = 55,159.76/x
  3. Step 3: Cross multiply
    188,279.51x = 282,419.25 × 55,159.76
  4. Step 4: Simplify right side
    188,279.51x = 15,578,178,548.58
  5. Step 5: Solve for x
    x = 15,578,178,548.58/188,279.51
  6. Step 6: Final answer
    x = 82,739.64

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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.