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Finding the Fourth Proportional to 97,921, 135,131.79 and 53,209

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Solution

The fourth proportional to 97,921, 135,131.79 and 53,209 is: 73,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,921 : 135,131.79 = 53,209 : x
  2. Step 2: Convert to fraction form
    97,921/135,131.79 = 53,209/x
  3. Step 3: Cross multiply
    97,921x = 135,131.79 × 53,209
  4. Step 4: Simplify right side
    97,921x = 7,190,227,414.11
  5. Step 5: Solve for x
    x = 7,190,227,414.11/97,921
  6. Step 6: Final answer
    x = 73,428.86

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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.