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Finding the Fourth Proportional to 102,683.76, 154,013.96 and 27,809.74

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Solution

The fourth proportional to 102,683.76, 154,013.96 and 27,809.74 is: 41,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,683.76 : 154,013.96 = 27,809.74 : x
  2. Step 2: Convert to fraction form
    102,683.76/154,013.96 = 27,809.74/x
  3. Step 3: Cross multiply
    102,683.76x = 154,013.96 × 27,809.74
  4. Step 4: Simplify right side
    102,683.76x = 4,283,087,423.25
  5. Step 5: Solve for x
    x = 4,283,087,423.25/102,683.76
  6. Step 6: Final answer
    x = 41,711.44

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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.