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Finding the Fourth Proportional to 178,409.16, 246,186.90 and 102,981.96

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Solution

The fourth proportional to 178,409.16, 246,186.90 and 102,981.96 is: 142,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,409.16 : 246,186.90 = 102,981.96 : x
  2. Step 2: Convert to fraction form
    178,409.16/246,186.90 = 102,981.96/x
  3. Step 3: Cross multiply
    178,409.16x = 246,186.90 × 102,981.96
  4. Step 4: Simplify right side
    178,409.16x = 25,352,809,488.32
  5. Step 5: Solve for x
    x = 25,352,809,488.32/178,409.16
  6. Step 6: Final answer
    x = 142,104.86

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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.