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Finding the Fourth Proportional to 97,900, 135,102 and 53,188

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Solution

The fourth proportional to 97,900, 135,102 and 53,188 is: 73,399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,900 : 135,102 = 53,188 : x
  2. Step 2: Convert to fraction form
    97,900/135,102 = 53,188/x
  3. Step 3: Cross multiply
    97,900x = 135,102 × 53,188
  4. Step 4: Simplify right side
    97,900x = 7,185,805,176
  5. Step 5: Solve for x
    x = 7,185,805,176/97,900
  6. Step 6: Final answer
    x = 73,399.44

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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.