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Finding the Fourth Proportional to 202,009.44, 278,773.02 and 111,366.96

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Solution

The fourth proportional to 202,009.44, 278,773.02 and 111,366.96 is: 153,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,009.44 : 278,773.02 = 111,366.96 : x
  2. Step 2: Convert to fraction form
    202,009.44/278,773.02 = 111,366.96/x
  3. Step 3: Cross multiply
    202,009.44x = 278,773.02 × 111,366.96
  4. Step 4: Simplify right side
    202,009.44x = 31,046,103,767.42
  5. Step 5: Solve for x
    x = 31,046,103,767.42/202,009.44
  6. Step 6: Final answer
    x = 153,686.40

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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.