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Finding the Fourth Proportional to 202,009.71, 278,775.36 and 111,369.30

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Solution

The fourth proportional to 202,009.71, 278,775.36 and 111,369.30 is: 153,690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,009.71 : 278,775.36 = 111,369.30 : x
  2. Step 2: Convert to fraction form
    202,009.71/278,775.36 = 111,369.30/x
  3. Step 3: Cross multiply
    202,009.71x = 278,775.36 × 111,369.30
  4. Step 4: Simplify right side
    202,009.71x = 31,047,016,700.45
  5. Step 5: Solve for x
    x = 31,047,016,700.45/202,009.71
  6. Step 6: Final answer
    x = 153,690.71

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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.