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Finding the Fourth Proportional to 178,852, 246,815.76 and 103,405.36

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Solution

The fourth proportional to 178,852, 246,815.76 and 103,405.36 is: 142,699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,852 : 246,815.76 = 103,405.36 : x
  2. Step 2: Convert to fraction form
    178,852/246,815.76 = 103,405.36/x
  3. Step 3: Cross multiply
    178,852x = 246,815.76 × 103,405.36
  4. Step 4: Simplify right side
    178,852x = 25,522,072,516.47
  5. Step 5: Solve for x
    x = 25,522,072,516.47/178,852
  6. Step 6: Final answer
    x = 142,699.40

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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.