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Finding the Fourth Proportional to 202,013.88, 278,781.09 and 111,373.16

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Solution

The fourth proportional to 202,013.88, 278,781.09 and 111,373.16 is: 153,696.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,013.88 : 278,781.09 = 111,373.16 : x
  2. Step 2: Convert to fraction form
    202,013.88/278,781.09 = 111,373.16/x
  3. Step 3: Cross multiply
    202,013.88x = 278,781.09 × 111,373.16
  4. Step 4: Simplify right side
    202,013.88x = 31,048,730,941.54
  5. Step 5: Solve for x
    x = 31,048,730,941.54/202,013.88
  6. Step 6: Final answer
    x = 153,696.03

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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.