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Finding the Fourth Proportional to 81,087.56, 121,461.84 and 65,206.70

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Solution

The fourth proportional to 81,087.56, 121,461.84 and 65,206.70 is: 97,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,087.56 : 121,461.84 = 65,206.70 : x
  2. Step 2: Convert to fraction form
    81,087.56/121,461.84 = 65,206.70/x
  3. Step 3: Cross multiply
    81,087.56x = 121,461.84 × 65,206.70
  4. Step 4: Simplify right side
    81,087.56x = 7,920,125,762.33
  5. Step 5: Solve for x
    x = 7,920,125,762.33/81,087.56
  6. Step 6: Final answer
    x = 97,673.75

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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.