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Finding the Fourth Proportional to 133,071.30, 183,640.50 and 72,642.48

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Solution

The fourth proportional to 133,071.30, 183,640.50 and 72,642.48 is: 100,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,071.30 : 183,640.50 = 72,642.48 : x
  2. Step 2: Convert to fraction form
    133,071.30/183,640.50 = 72,642.48/x
  3. Step 3: Cross multiply
    133,071.30x = 183,640.50 × 72,642.48
  4. Step 4: Simplify right side
    133,071.30x = 13,340,101,348.44
  5. Step 5: Solve for x
    x = 13,340,101,348.44/133,071.30
  6. Step 6: Final answer
    x = 100,247.77

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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.