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Finding the Fourth Proportional to 197,112, 272,014.56 and 107,688

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Solution

The fourth proportional to 197,112, 272,014.56 and 107,688 is: 148,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,112 : 272,014.56 = 107,688 : x
  2. Step 2: Convert to fraction form
    197,112/272,014.56 = 107,688/x
  3. Step 3: Cross multiply
    197,112x = 272,014.56 × 107,688
  4. Step 4: Simplify right side
    197,112x = 29,292,703,937.28
  5. Step 5: Solve for x
    x = 29,292,703,937.28/197,112
  6. Step 6: Final answer
    x = 148,609.44

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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.