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Finding the Fourth Proportional to 147,871.89, 204,099.48 and 84,247.20

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Solution

The fourth proportional to 147,871.89, 204,099.48 and 84,247.20 is: 116,281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,871.89 : 204,099.48 = 84,247.20 : x
  2. Step 2: Convert to fraction form
    147,871.89/204,099.48 = 84,247.20/x
  3. Step 3: Cross multiply
    147,871.89x = 204,099.48 × 84,247.20
  4. Step 4: Simplify right side
    147,871.89x = 17,194,809,711.46
  5. Step 5: Solve for x
    x = 17,194,809,711.46/147,871.89
  6. Step 6: Final answer
    x = 116,281.80

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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.