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Finding the Fourth Proportional to 202,162.56, 278,980.88 and 111,527.21

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Solution

The fourth proportional to 202,162.56, 278,980.88 and 111,527.21 is: 153,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,162.56 : 278,980.88 = 111,527.21 : x
  2. Step 2: Convert to fraction form
    202,162.56/278,980.88 = 111,527.21/x
  3. Step 3: Cross multiply
    202,162.56x = 278,980.88 × 111,527.21
  4. Step 4: Simplify right side
    202,162.56x = 31,113,957,237.20
  5. Step 5: Solve for x
    x = 31,113,957,237.20/202,162.56
  6. Step 6: Final answer
    x = 153,905.64

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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.