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Finding the Fourth Proportional to 174,477.78, 261,505.53 and 79,578.05

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Solution

The fourth proportional to 174,477.78, 261,505.53 and 79,578.05 is: 119,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,477.78 : 261,505.53 = 79,578.05 : x
  2. Step 2: Convert to fraction form
    174,477.78/261,505.53 = 79,578.05/x
  3. Step 3: Cross multiply
    174,477.78x = 261,505.53 × 79,578.05
  4. Step 4: Simplify right side
    174,477.78x = 20,810,098,834.09
  5. Step 5: Solve for x
    x = 20,810,098,834.09/174,477.78
  6. Step 6: Final answer
    x = 119,270.77

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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.