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Finding the Fourth Proportional to 202,098.83, 278,898.14 and 111,458.03

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Solution

The fourth proportional to 202,098.83, 278,898.14 and 111,458.03 is: 153,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,098.83 : 278,898.14 = 111,458.03 : x
  2. Step 2: Convert to fraction form
    202,098.83/278,898.14 = 111,458.03/x
  3. Step 3: Cross multiply
    202,098.83x = 278,898.14 × 111,458.03
  4. Step 4: Simplify right side
    202,098.83x = 31,085,437,255.06
  5. Step 5: Solve for x
    x = 31,085,437,255.06/202,098.83
  6. Step 6: Final answer
    x = 153,813.05

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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.