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Finding the Fourth Proportional to 65,310, 97,951.14 and 20,924.88

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Solution

The fourth proportional to 65,310, 97,951.14 and 20,924.88 is: 31,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,310 : 97,951.14 = 20,924.88 : x
  2. Step 2: Convert to fraction form
    65,310/97,951.14 = 20,924.88/x
  3. Step 3: Cross multiply
    65,310x = 97,951.14 × 20,924.88
  4. Step 4: Simplify right side
    65,310x = 2,049,615,850.36
  5. Step 5: Solve for x
    x = 2,049,615,850.36/65,310
  6. Step 6: Final answer
    x = 31,382.88

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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.