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Finding the Fourth Proportional to 197,285, 272,254.26 and 107,861

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Solution

The fourth proportional to 197,285, 272,254.26 and 107,861 is: 148,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,285 : 272,254.26 = 107,861 : x
  2. Step 2: Convert to fraction form
    197,285/272,254.26 = 107,861/x
  3. Step 3: Cross multiply
    197,285x = 272,254.26 × 107,861
  4. Step 4: Simplify right side
    197,285x = 29,365,616,737.86
  5. Step 5: Solve for x
    x = 29,365,616,737.86/197,285
  6. Step 6: Final answer
    x = 148,848.70

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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.