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Finding the Fourth Proportional to 201,898.40, 278,632.19 and 111,254.32

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Solution

The fourth proportional to 201,898.40, 278,632.19 and 111,254.32 is: 153,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,898.40 : 278,632.19 = 111,254.32 : x
  2. Step 2: Convert to fraction form
    201,898.40/278,632.19 = 111,254.32/x
  3. Step 3: Cross multiply
    201,898.40x = 278,632.19 × 111,254.32
  4. Step 4: Simplify right side
    201,898.40x = 30,999,032,879.13
  5. Step 5: Solve for x
    x = 30,999,032,879.13/201,898.40
  6. Step 6: Final answer
    x = 153,537.78

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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.