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Finding the Fourth Proportional to 180,419.61, 248,975.31 and 99,842.31

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Solution

The fourth proportional to 180,419.61, 248,975.31 and 99,842.31 is: 137,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,419.61 : 248,975.31 = 99,842.31 : x
  2. Step 2: Convert to fraction form
    180,419.61/248,975.31 = 99,842.31/x
  3. Step 3: Cross multiply
    180,419.61x = 248,975.31 × 99,842.31
  4. Step 4: Simplify right side
    180,419.61x = 24,858,270,083.37
  5. Step 5: Solve for x
    x = 24,858,270,083.37/180,419.61
  6. Step 6: Final answer
    x = 137,780.31

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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.