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Finding the Fourth Proportional to 121,961.21, 183,019.89 and 65,840.40

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Solution

The fourth proportional to 121,961.21, 183,019.89 and 65,840.40 is: 98,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,961.21 : 183,019.89 = 65,840.40 : x
  2. Step 2: Convert to fraction form
    121,961.21/183,019.89 = 65,840.40/x
  3. Step 3: Cross multiply
    121,961.21x = 183,019.89 × 65,840.40
  4. Step 4: Simplify right side
    121,961.21x = 12,050,102,765.56
  5. Step 5: Solve for x
    x = 12,050,102,765.56/121,961.21
  6. Step 6: Final answer
    x = 98,802.75

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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.