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Finding the Fourth Proportional to 180,043, 248,456.40 and 99,473.92

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Solution

The fourth proportional to 180,043, 248,456.40 and 99,473.92 is: 137,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,043 : 248,456.40 = 99,473.92 : x
  2. Step 2: Convert to fraction form
    180,043/248,456.40 = 99,473.92/x
  3. Step 3: Cross multiply
    180,043x = 248,456.40 × 99,473.92
  4. Step 4: Simplify right side
    180,043x = 24,714,932,057.09
  5. Step 5: Solve for x
    x = 24,714,932,057.09/180,043
  6. Step 6: Final answer
    x = 137,272.39

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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.