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Finding the Fourth Proportional to 180,405.43, 248,955.73 and 99,828.15

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Solution

The fourth proportional to 180,405.43, 248,955.73 and 99,828.15 is: 137,760.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,405.43 : 248,955.73 = 99,828.15 : x
  2. Step 2: Convert to fraction form
    180,405.43/248,955.73 = 99,828.15/x
  3. Step 3: Cross multiply
    180,405.43x = 248,955.73 × 99,828.15
  4. Step 4: Simplify right side
    180,405.43x = 24,852,788,774.65
  5. Step 5: Solve for x
    x = 24,852,788,774.65/180,405.43
  6. Step 6: Final answer
    x = 137,760.76

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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.