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Finding the Fourth Proportional to 89,068.68, 122,916.09 and 48,786.20

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Solution

The fourth proportional to 89,068.68, 122,916.09 and 48,786.20 is: 67,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,068.68 : 122,916.09 = 48,786.20 : x
  2. Step 2: Convert to fraction form
    89,068.68/122,916.09 = 48,786.20/x
  3. Step 3: Cross multiply
    89,068.68x = 122,916.09 × 48,786.20
  4. Step 4: Simplify right side
    89,068.68x = 5,996,608,335.38
  5. Step 5: Solve for x
    x = 5,996,608,335.38/89,068.68
  6. Step 6: Final answer
    x = 67,325.67

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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.