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Finding the Fourth Proportional to 39,985, 55,184.16 and 23,218

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Solution

The fourth proportional to 39,985, 55,184.16 and 23,218 is: 32,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,985 : 55,184.16 = 23,218 : x
  2. Step 2: Convert to fraction form
    39,985/55,184.16 = 23,218/x
  3. Step 3: Cross multiply
    39,985x = 55,184.16 × 23,218
  4. Step 4: Simplify right side
    39,985x = 1,281,265,826.88
  5. Step 5: Solve for x
    x = 1,281,265,826.88/39,985
  6. Step 6: Final answer
    x = 32,043.66

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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.