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Finding the Fourth Proportional to 97,917, 135,125.82 and 53,205

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Solution

The fourth proportional to 97,917, 135,125.82 and 53,205 is: 73,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,917 : 135,125.82 = 53,205 : x
  2. Step 2: Convert to fraction form
    97,917/135,125.82 = 53,205/x
  3. Step 3: Cross multiply
    97,917x = 135,125.82 × 53,205
  4. Step 4: Simplify right side
    97,917x = 7,189,369,253.10
  5. Step 5: Solve for x
    x = 7,189,369,253.10/97,917
  6. Step 6: Final answer
    x = 73,423.10

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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.