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Finding the Fourth Proportional to 161,919, 242,917.38 and 51,111

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Solution

The fourth proportional to 161,919, 242,917.38 and 51,111 is: 76,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,919 : 242,917.38 = 51,111 : x
  2. Step 2: Convert to fraction form
    161,919/242,917.38 = 51,111/x
  3. Step 3: Cross multiply
    161,919x = 242,917.38 × 51,111
  4. Step 4: Simplify right side
    161,919x = 12,415,750,209.18
  5. Step 5: Solve for x
    x = 12,415,750,209.18/161,919
  6. Step 6: Final answer
    x = 76,678.77

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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.