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Finding the Fourth Proportional to 197,364, 272,368.80 and 107,940

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Solution

The fourth proportional to 197,364, 272,368.80 and 107,940 is: 148,960.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,364 : 272,368.80 = 107,940 : x
  2. Step 2: Convert to fraction form
    197,364/272,368.80 = 107,940/x
  3. Step 3: Cross multiply
    197,364x = 272,368.80 × 107,940
  4. Step 4: Simplify right side
    197,364x = 29,399,488,272
  5. Step 5: Solve for x
    x = 29,399,488,272/197,364
  6. Step 6: Final answer
    x = 148,960.74

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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.