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Finding the Fourth Proportional to 180,431.92, 248,999.20 and 99,866.08

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Solution

The fourth proportional to 180,431.92, 248,999.20 and 99,866.08 is: 137,816.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,431.92 : 248,999.20 = 99,866.08 : x
  2. Step 2: Convert to fraction form
    180,431.92/248,999.20 = 99,866.08/x
  3. Step 3: Cross multiply
    180,431.92x = 248,999.20 × 99,866.08
  4. Step 4: Simplify right side
    180,431.92x = 24,866,574,027.14
  5. Step 5: Solve for x
    x = 24,866,574,027.14/180,431.92
  6. Step 6: Final answer
    x = 137,816.93

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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.