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Finding the Fourth Proportional to 97,850.72, 135,031.92 and 53,138.72

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Solution

The fourth proportional to 97,850.72, 135,031.92 and 53,138.72 is: 73,330.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,850.72 : 135,031.92 = 53,138.72 : x
  2. Step 2: Convert to fraction form
    97,850.72/135,031.92 = 53,138.72/x
  3. Step 3: Cross multiply
    97,850.72x = 135,031.92 × 53,138.72
  4. Step 4: Simplify right side
    97,850.72x = 7,175,423,387.94
  5. Step 5: Solve for x
    x = 7,175,423,387.94/97,850.72
  6. Step 6: Final answer
    x = 73,330.31

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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.