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Finding the Fourth Proportional to 100,916, 139,268.40 and 56,204

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Solution

The fourth proportional to 100,916, 139,268.40 and 56,204 is: 77,563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,916 : 139,268.40 = 56,204 : x
  2. Step 2: Convert to fraction form
    100,916/139,268.40 = 56,204/x
  3. Step 3: Cross multiply
    100,916x = 139,268.40 × 56,204
  4. Step 4: Simplify right side
    100,916x = 7,827,441,153.60
  5. Step 5: Solve for x
    x = 7,827,441,153.60/100,916
  6. Step 6: Final answer
    x = 77,563.93

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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.