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Finding the Fourth Proportional to 202,055.25, 278,830.91 and 111,409.70

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Solution

The fourth proportional to 202,055.25, 278,830.91 and 111,409.70 is: 153,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,055.25 : 278,830.91 = 111,409.70 : x
  2. Step 2: Convert to fraction form
    202,055.25/278,830.91 = 111,409.70/x
  3. Step 3: Cross multiply
    202,055.25x = 278,830.91 × 111,409.70
  4. Step 4: Simplify right side
    202,055.25x = 31,064,469,009.43
  5. Step 5: Solve for x
    x = 31,064,469,009.43/202,055.25
  6. Step 6: Final answer
    x = 153,742.45

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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.