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Finding the Fourth Proportional to 176,328.36, 243,328.77 and 100,872

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Solution

The fourth proportional to 176,328.36, 243,328.77 and 100,872 is: 139,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,328.36 : 243,328.77 = 100,872 : x
  2. Step 2: Convert to fraction form
    176,328.36/243,328.77 = 100,872/x
  3. Step 3: Cross multiply
    176,328.36x = 243,328.77 × 100,872
  4. Step 4: Simplify right side
    176,328.36x = 24,545,059,687.44
  5. Step 5: Solve for x
    x = 24,545,059,687.44/176,328.36
  6. Step 6: Final answer
    x = 139,200.86

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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.