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Finding the Fourth Proportional to 176,296.50, 243,289.17 and 100,845

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Solution

The fourth proportional to 176,296.50, 243,289.17 and 100,845 is: 139,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,296.50 : 243,289.17 = 100,845 : x
  2. Step 2: Convert to fraction form
    176,296.50/243,289.17 = 100,845/x
  3. Step 3: Cross multiply
    176,296.50x = 243,289.17 × 100,845
  4. Step 4: Simplify right side
    176,296.50x = 24,534,496,348.65
  5. Step 5: Solve for x
    x = 24,534,496,348.65/176,296.50
  6. Step 6: Final answer
    x = 139,166.10

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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.