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Finding the Fourth Proportional to 97,872, 135,063.50 and 53,160

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Solution

The fourth proportional to 97,872, 135,063.50 and 53,160 is: 73,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,872 : 135,063.50 = 53,160 : x
  2. Step 2: Convert to fraction form
    97,872/135,063.50 = 53,160/x
  3. Step 3: Cross multiply
    97,872x = 135,063.50 × 53,160
  4. Step 4: Simplify right side
    97,872x = 7,179,975,394.20
  5. Step 5: Solve for x
    x = 7,179,975,394.20/97,872
  6. Step 6: Final answer
    x = 73,360.87

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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.