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Finding the Fourth Proportional to 65,358.66, 97,990.20 and 20,960.14

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Solution

The fourth proportional to 65,358.66, 97,990.20 and 20,960.14 is: 31,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,358.66 : 97,990.20 = 20,960.14 : x
  2. Step 2: Convert to fraction form
    65,358.66/97,990.20 = 20,960.14/x
  3. Step 3: Cross multiply
    65,358.66x = 97,990.20 × 20,960.14
  4. Step 4: Simplify right side
    65,358.66x = 2,053,888,310.63
  5. Step 5: Solve for x
    x = 2,053,888,310.63/65,358.66
  6. Step 6: Final answer
    x = 31,424.88

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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.