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Finding the Fourth Proportional to 98,145.48, 135,437.49 and 57,858.51

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Solution

The fourth proportional to 98,145.48, 135,437.49 and 57,858.51 is: 79,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,145.48 : 135,437.49 = 57,858.51 : x
  2. Step 2: Convert to fraction form
    98,145.48/135,437.49 = 57,858.51/x
  3. Step 3: Cross multiply
    98,145.48x = 135,437.49 × 57,858.51
  4. Step 4: Simplify right side
    98,145.48x = 7,836,211,369.54
  5. Step 5: Solve for x
    x = 7,836,211,369.54/98,145.48
  6. Step 6: Final answer
    x = 79,842.81

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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.