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Finding the Fourth Proportional to 65,439.82, 98,175.11 and 21,064.91

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Solution

The fourth proportional to 65,439.82, 98,175.11 and 21,064.91 is: 31,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,439.82 : 98,175.11 = 21,064.91 : x
  2. Step 2: Convert to fraction form
    65,439.82/98,175.11 = 21,064.91/x
  3. Step 3: Cross multiply
    65,439.82x = 98,175.11 × 21,064.91
  4. Step 4: Simplify right side
    65,439.82x = 2,068,049,990.16
  5. Step 5: Solve for x
    x = 2,068,049,990.16/65,439.82
  6. Step 6: Final answer
    x = 31,602.32

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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.