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Finding the Fourth Proportional to 97,002.36, 133,879.74 and 71,640.48

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Solution

The fourth proportional to 97,002.36, 133,879.74 and 71,640.48 is: 98,876.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,002.36 : 133,879.74 = 71,640.48 : x
  2. Step 2: Convert to fraction form
    97,002.36/133,879.74 = 71,640.48/x
  3. Step 3: Cross multiply
    97,002.36x = 133,879.74 × 71,640.48
  4. Step 4: Simplify right side
    97,002.36x = 9,591,208,835.88
  5. Step 5: Solve for x
    x = 9,591,208,835.88/97,002.36
  6. Step 6: Final answer
    x = 98,876.04

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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.