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Finding the Fourth Proportional to 149,266.84, 205,972.56 and 84,715.54

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Solution

The fourth proportional to 149,266.84, 205,972.56 and 84,715.54 is: 116,898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,266.84 : 205,972.56 = 84,715.54 : x
  2. Step 2: Convert to fraction form
    149,266.84/205,972.56 = 84,715.54/x
  3. Step 3: Cross multiply
    149,266.84x = 205,972.56 × 84,715.54
  4. Step 4: Simplify right side
    149,266.84x = 17,449,076,645.58
  5. Step 5: Solve for x
    x = 17,449,076,645.58/149,266.84
  6. Step 6: Final answer
    x = 116,898.55

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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.