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Finding the Fourth Proportional to 100,996.49, 139,368.87 and 55,674.83

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Solution

The fourth proportional to 100,996.49, 139,368.87 and 55,674.83 is: 76,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,996.49 : 139,368.87 = 55,674.83 : x
  2. Step 2: Convert to fraction form
    100,996.49/139,368.87 = 55,674.83/x
  3. Step 3: Cross multiply
    100,996.49x = 139,368.87 × 55,674.83
  4. Step 4: Simplify right side
    100,996.49x = 7,759,338,492.96
  5. Step 5: Solve for x
    x = 7,759,338,492.96/100,996.49
  6. Step 6: Final answer
    x = 76,827.80

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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.