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Finding the Fourth Proportional to 97,849, 135,031.62 and 53,137

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Solution

The fourth proportional to 97,849, 135,031.62 and 53,137 is: 73,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,849 : 135,031.62 = 53,137 : x
  2. Step 2: Convert to fraction form
    97,849/135,031.62 = 53,137/x
  3. Step 3: Cross multiply
    97,849x = 135,031.62 × 53,137
  4. Step 4: Simplify right side
    97,849x = 7,175,175,191.94
  5. Step 5: Solve for x
    x = 7,175,175,191.94/97,849
  6. Step 6: Final answer
    x = 73,329.06

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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.