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Finding the Fourth Proportional to 89,196, 133,802.64 and 30,046.56

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Solution

The fourth proportional to 89,196, 133,802.64 and 30,046.56 is: 45,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,196 : 133,802.64 = 30,046.56 : x
  2. Step 2: Convert to fraction form
    89,196/133,802.64 = 30,046.56/x
  3. Step 3: Cross multiply
    89,196x = 133,802.64 × 30,046.56
  4. Step 4: Simplify right side
    89,196x = 4,020,309,050.92
  5. Step 5: Solve for x
    x = 4,020,309,050.92/89,196
  6. Step 6: Final answer
    x = 45,072.75

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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.