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Finding the Fourth Proportional to 197,468.21, 272,507.42 and 120,987.47

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Solution

The fourth proportional to 197,468.21, 272,507.42 and 120,987.47 is: 166,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,468.21 : 272,507.42 = 120,987.47 : x
  2. Step 2: Convert to fraction form
    197,468.21/272,507.42 = 120,987.47/x
  3. Step 3: Cross multiply
    197,468.21x = 272,507.42 × 120,987.47
  4. Step 4: Simplify right side
    197,468.21x = 32,969,984,285.76
  5. Step 5: Solve for x
    x = 32,969,984,285.76/197,468.21
  6. Step 6: Final answer
    x = 166,963.50

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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.