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Finding the Fourth Proportional to 133,099.80, 183,678.36 and 72,671.68

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Solution

The fourth proportional to 133,099.80, 183,678.36 and 72,671.68 is: 100,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,099.80 : 183,678.36 = 72,671.68 : x
  2. Step 2: Convert to fraction form
    133,099.80/183,678.36 = 72,671.68/x
  3. Step 3: Cross multiply
    133,099.80x = 183,678.36 × 72,671.68
  4. Step 4: Simplify right side
    133,099.80x = 13,348,215,000.84
  5. Step 5: Solve for x
    x = 13,348,215,000.84/133,099.80
  6. Step 6: Final answer
    x = 100,287.27

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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.