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Finding the Fourth Proportional to 48,294, 66,645.96 and 28,164.84

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Solution

The fourth proportional to 48,294, 66,645.96 and 28,164.84 is: 38,867.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,294 : 66,645.96 = 28,164.84 : x
  2. Step 2: Convert to fraction form
    48,294/66,645.96 = 28,164.84/x
  3. Step 3: Cross multiply
    48,294x = 66,645.96 × 28,164.84
  4. Step 4: Simplify right side
    48,294x = 1,877,072,800.05
  5. Step 5: Solve for x
    x = 1,877,072,800.05/48,294
  6. Step 6: Final answer
    x = 38,867.62

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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.