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Finding the Fourth Proportional to 81,084.56, 121,457.34 and 65,203.70

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Solution

The fourth proportional to 81,084.56, 121,457.34 and 65,203.70 is: 97,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,084.56 : 121,457.34 = 65,203.70 : x
  2. Step 2: Convert to fraction form
    81,084.56/121,457.34 = 65,203.70/x
  3. Step 3: Cross multiply
    81,084.56x = 121,457.34 × 65,203.70
  4. Step 4: Simplify right side
    81,084.56x = 7,919,467,960.16
  5. Step 5: Solve for x
    x = 7,919,467,960.16/81,084.56
  6. Step 6: Final answer
    x = 97,669.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.