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Finding the Fourth Proportional to 197,133, 272,043.78 and 107,709

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Solution

The fourth proportional to 197,133, 272,043.78 and 107,709 is: 148,638.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,133 : 272,043.78 = 107,709 : x
  2. Step 2: Convert to fraction form
    197,133/272,043.78 = 107,709/x
  3. Step 3: Cross multiply
    197,133x = 272,043.78 × 107,709
  4. Step 4: Simplify right side
    197,133x = 29,301,563,500.02
  5. Step 5: Solve for x
    x = 29,301,563,500.02/197,133
  6. Step 6: Final answer
    x = 148,638.55

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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.