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Finding the Fourth Proportional to 266,783.08, 400,195.46 and 77,246.27

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Solution

The fourth proportional to 266,783.08, 400,195.46 and 77,246.27 is: 115,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,783.08 : 400,195.46 = 77,246.27 : x
  2. Step 2: Convert to fraction form
    266,783.08/400,195.46 = 77,246.27/x
  3. Step 3: Cross multiply
    266,783.08x = 400,195.46 × 77,246.27
  4. Step 4: Simplify right side
    266,783.08x = 30,913,606,169.70
  5. Step 5: Solve for x
    x = 30,913,606,169.70/266,783.08
  6. Step 6: Final answer
    x = 115,875.44

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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.