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Finding the Fourth Proportional to 98,704.38, 136,212.05 and 53,992.38

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Solution

The fourth proportional to 98,704.38, 136,212.05 and 53,992.38 is: 74,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,704.38 : 136,212.05 = 53,992.38 : x
  2. Step 2: Convert to fraction form
    98,704.38/136,212.05 = 53,992.38/x
  3. Step 3: Cross multiply
    98,704.38x = 136,212.05 × 53,992.38
  4. Step 4: Simplify right side
    98,704.38x = 7,354,412,764.18
  5. Step 5: Solve for x
    x = 7,354,412,764.18/98,704.38
  6. Step 6: Final answer
    x = 74,509.49

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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.