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Finding the Fourth Proportional to 202,047.60, 278,827.88 and 111,403.74

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Solution

The fourth proportional to 202,047.60, 278,827.88 and 111,403.74 is: 153,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,047.60 : 278,827.88 = 111,403.74 : x
  2. Step 2: Convert to fraction form
    202,047.60/278,827.88 = 111,403.74/x
  3. Step 3: Cross multiply
    202,047.60x = 278,827.88 × 111,403.74
  4. Step 4: Simplify right side
    202,047.60x = 31,062,468,648.27
  5. Step 5: Solve for x
    x = 31,062,468,648.27/202,047.60
  6. Step 6: Final answer
    x = 153,738.37

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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.