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Finding the Fourth Proportional to 30,114, 41,557.32 and 16,866

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Solution

The fourth proportional to 30,114, 41,557.32 and 16,866 is: 23,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114 : 41,557.32 = 16,866 : x
  2. Step 2: Convert to fraction form
    30,114/41,557.32 = 16,866/x
  3. Step 3: Cross multiply
    30,114x = 41,557.32 × 16,866
  4. Step 4: Simplify right side
    30,114x = 700,905,759.12
  5. Step 5: Solve for x
    x = 700,905,759.12/30,114
  6. Step 6: Final answer
    x = 23,275.08

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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.