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Finding the Fourth Proportional to 186,071.28, 279,106.89 and 54,743.28

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Solution

The fourth proportional to 186,071.28, 279,106.89 and 54,743.28 is: 82,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,071.28 : 279,106.89 = 54,743.28 : x
  2. Step 2: Convert to fraction form
    186,071.28/279,106.89 = 54,743.28/x
  3. Step 3: Cross multiply
    186,071.28x = 279,106.89 × 54,743.28
  4. Step 4: Simplify right side
    186,071.28x = 15,279,226,629.20
  5. Step 5: Solve for x
    x = 15,279,226,629.20/186,071.28
  6. Step 6: Final answer
    x = 82,114.91

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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.