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Finding the Fourth Proportional to 197,803.62, 272,973.92 and 117,218.07

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Solution

The fourth proportional to 197,803.62, 272,973.92 and 117,218.07 is: 161,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,803.62 : 272,973.92 = 117,218.07 : x
  2. Step 2: Convert to fraction form
    197,803.62/272,973.92 = 117,218.07/x
  3. Step 3: Cross multiply
    197,803.62x = 272,973.92 × 117,218.07
  4. Step 4: Simplify right side
    197,803.62x = 31,997,475,476.64
  5. Step 5: Solve for x
    x = 31,997,475,476.64/197,803.62
  6. Step 6: Final answer
    x = 161,763.85

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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.