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Finding the Fourth Proportional to 89,784.84, 123,900.80 and 49,497.67

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Solution

The fourth proportional to 89,784.84, 123,900.80 and 49,497.67 is: 68,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,784.84 : 123,900.80 = 49,497.67 : x
  2. Step 2: Convert to fraction form
    89,784.84/123,900.80 = 49,497.67/x
  3. Step 3: Cross multiply
    89,784.84x = 123,900.80 × 49,497.67
  4. Step 4: Simplify right side
    89,784.84x = 6,132,800,911.14
  5. Step 5: Solve for x
    x = 6,132,800,911.14/89,784.84
  6. Step 6: Final answer
    x = 68,305.53

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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.