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Finding the Fourth Proportional to 178,116, 266,940.72 and 99,267.36

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Solution

The fourth proportional to 178,116, 266,940.72 and 99,267.36 is: 148,771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,116 : 266,940.72 = 99,267.36 : x
  2. Step 2: Convert to fraction form
    178,116/266,940.72 = 99,267.36/x
  3. Step 3: Cross multiply
    178,116x = 266,940.72 × 99,267.36
  4. Step 4: Simplify right side
    178,116x = 26,498,500,550.90
  5. Step 5: Solve for x
    x = 26,498,500,550.90/178,116
  6. Step 6: Final answer
    x = 148,771.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.