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Finding the Fourth Proportional to 87,724, 121,059.12 and 47,980

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Solution

The fourth proportional to 87,724, 121,059.12 and 47,980 is: 66,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,724 : 121,059.12 = 47,980 : x
  2. Step 2: Convert to fraction form
    87,724/121,059.12 = 47,980/x
  3. Step 3: Cross multiply
    87,724x = 121,059.12 × 47,980
  4. Step 4: Simplify right side
    87,724x = 5,808,416,577.60
  5. Step 5: Solve for x
    x = 5,808,416,577.60/87,724
  6. Step 6: Final answer
    x = 66,212.40

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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.