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Finding the Fourth Proportional to 65,119.88, 89,865.98 and 35,311.88

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Solution

The fourth proportional to 65,119.88, 89,865.98 and 35,311.88 is: 48,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,119.88 : 89,865.98 = 35,311.88 : x
  2. Step 2: Convert to fraction form
    65,119.88/89,865.98 = 35,311.88/x
  3. Step 3: Cross multiply
    65,119.88x = 89,865.98 × 35,311.88
  4. Step 4: Simplify right side
    65,119.88x = 3,173,336,701.84
  5. Step 5: Solve for x
    x = 3,173,336,701.84/65,119.88
  6. Step 6: Final answer
    x = 48,730.69

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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.