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Finding the Fourth Proportional to 86,682, 119,621.16 and 46,938

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Solution

The fourth proportional to 86,682, 119,621.16 and 46,938 is: 64,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,682 : 119,621.16 = 46,938 : x
  2. Step 2: Convert to fraction form
    86,682/119,621.16 = 46,938/x
  3. Step 3: Cross multiply
    86,682x = 119,621.16 × 46,938
  4. Step 4: Simplify right side
    86,682x = 5,614,778,008.08
  5. Step 5: Solve for x
    x = 5,614,778,008.08/86,682
  6. Step 6: Final answer
    x = 64,774.44

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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.