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Finding the Fourth Proportional to 186,851.81, 280,141.91 and 74,498.33

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Solution

The fourth proportional to 186,851.81, 280,141.91 and 74,498.33 is: 111,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,851.81 : 280,141.91 = 74,498.33 : x
  2. Step 2: Convert to fraction form
    186,851.81/280,141.91 = 74,498.33/x
  3. Step 3: Cross multiply
    186,851.81x = 280,141.91 × 74,498.33
  4. Step 4: Simplify right side
    186,851.81x = 20,870,102,684.81
  5. Step 5: Solve for x
    x = 20,870,102,684.81/186,851.81
  6. Step 6: Final answer
    x = 111,693.34

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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.