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Finding the Fourth Proportional to 30,062.68, 45,071.25 and 18,214

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Solution

The fourth proportional to 30,062.68, 45,071.25 and 18,214 is: 27,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,062.68 : 45,071.25 = 18,214 : x
  2. Step 2: Convert to fraction form
    30,062.68/45,071.25 = 18,214/x
  3. Step 3: Cross multiply
    30,062.68x = 45,071.25 × 18,214
  4. Step 4: Simplify right side
    30,062.68x = 820,927,747.50
  5. Step 5: Solve for x
    x = 820,927,747.50/30,062.68
  6. Step 6: Final answer
    x = 27,307.20

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Why These Related Problems?

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