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Finding the Fourth Proportional to 97,888, 135,085.44 and 53,176

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Solution

The fourth proportional to 97,888, 135,085.44 and 53,176 is: 73,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,888 : 135,085.44 = 53,176 : x
  2. Step 2: Convert to fraction form
    97,888/135,085.44 = 53,176/x
  3. Step 3: Cross multiply
    97,888x = 135,085.44 × 53,176
  4. Step 4: Simplify right side
    97,888x = 7,183,303,357.44
  5. Step 5: Solve for x
    x = 7,183,303,357.44/97,888
  6. Step 6: Final answer
    x = 73,382.88

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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.