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Finding the Fourth Proportional to 73,152, 100,949.76 and 39,618

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Solution

The fourth proportional to 73,152, 100,949.76 and 39,618 is: 54,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,152 : 100,949.76 = 39,618 : x
  2. Step 2: Convert to fraction form
    73,152/100,949.76 = 39,618/x
  3. Step 3: Cross multiply
    73,152x = 100,949.76 × 39,618
  4. Step 4: Simplify right side
    73,152x = 3,999,427,591.68
  5. Step 5: Solve for x
    x = 3,999,427,591.68/73,152
  6. Step 6: Final answer
    x = 54,672.84

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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.