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Finding the Fourth Proportional to 97,864, 135,052.32 and 53,152

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Solution

The fourth proportional to 97,864, 135,052.32 and 53,152 is: 73,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,864 : 135,052.32 = 53,152 : x
  2. Step 2: Convert to fraction form
    97,864/135,052.32 = 53,152/x
  3. Step 3: Cross multiply
    97,864x = 135,052.32 × 53,152
  4. Step 4: Simplify right side
    97,864x = 7,178,300,912.64
  5. Step 5: Solve for x
    x = 7,178,300,912.64/97,864
  6. Step 6: Final answer
    x = 73,349.76

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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.