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Finding the Fourth Proportional to 119,788, 179,690.64 and 45,916

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Solution

The fourth proportional to 119,788, 179,690.64 and 45,916 is: 68,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,788 : 179,690.64 = 45,916 : x
  2. Step 2: Convert to fraction form
    119,788/179,690.64 = 45,916/x
  3. Step 3: Cross multiply
    119,788x = 179,690.64 × 45,916
  4. Step 4: Simplify right side
    119,788x = 8,250,675,426.24
  5. Step 5: Solve for x
    x = 8,250,675,426.24/119,788
  6. Step 6: Final answer
    x = 68,877.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.