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Finding the Fourth Proportional to 197,138, 272,050.44 and 107,714

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Solution

The fourth proportional to 197,138, 272,050.44 and 107,714 is: 148,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,138 : 272,050.44 = 107,714 : x
  2. Step 2: Convert to fraction form
    197,138/272,050.44 = 107,714/x
  3. Step 3: Cross multiply
    197,138x = 272,050.44 × 107,714
  4. Step 4: Simplify right side
    197,138x = 29,303,641,094.16
  5. Step 5: Solve for x
    x = 29,303,641,094.16/197,138
  6. Step 6: Final answer
    x = 148,645.32

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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.