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Finding the Fourth Proportional to 30,100.68, 41,547.60 and 18,162

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Solution

The fourth proportional to 30,100.68, 41,547.60 and 18,162 is: 25,068.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,100.68 : 41,547.60 = 18,162 : x
  2. Step 2: Convert to fraction form
    30,100.68/41,547.60 = 18,162/x
  3. Step 3: Cross multiply
    30,100.68x = 41,547.60 × 18,162
  4. Step 4: Simplify right side
    30,100.68x = 754,587,511.20
  5. Step 5: Solve for x
    x = 754,587,511.20/30,100.68
  6. Step 6: Final answer
    x = 25,068.79

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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.