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Finding the Fourth Proportional to 97,901, 135,103.38 and 53,189

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Solution

The fourth proportional to 97,901, 135,103.38 and 53,189 is: 73,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,901 : 135,103.38 = 53,189 : x
  2. Step 2: Convert to fraction form
    97,901/135,103.38 = 53,189/x
  3. Step 3: Cross multiply
    97,901x = 135,103.38 × 53,189
  4. Step 4: Simplify right side
    97,901x = 7,186,013,678.82
  5. Step 5: Solve for x
    x = 7,186,013,678.82/97,901
  6. Step 6: Final answer
    x = 73,400.82

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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.