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Finding the Fourth Proportional to 201,700.74, 278,347.05 and 111,057.06

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Solution

The fourth proportional to 201,700.74, 278,347.05 and 111,057.06 is: 153,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,700.74 : 278,347.05 = 111,057.06 : x
  2. Step 2: Convert to fraction form
    201,700.74/278,347.05 = 111,057.06/x
  3. Step 3: Cross multiply
    201,700.74x = 278,347.05 × 111,057.06
  4. Step 4: Simplify right side
    201,700.74x = 30,912,405,032.67
  5. Step 5: Solve for x
    x = 30,912,405,032.67/201,700.74
  6. Step 6: Final answer
    x = 153,258.76

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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.