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Finding the Fourth Proportional to 65,138.56, 97,706.22 and 18,390.76

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Solution

The fourth proportional to 65,138.56, 97,706.22 and 18,390.76 is: 27,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,138.56 : 97,706.22 = 18,390.76 : x
  2. Step 2: Convert to fraction form
    65,138.56/97,706.22 = 18,390.76/x
  3. Step 3: Cross multiply
    65,138.56x = 97,706.22 × 18,390.76
  4. Step 4: Simplify right side
    65,138.56x = 1,796,891,642.53
  5. Step 5: Solve for x
    x = 1,796,891,642.53/65,138.56
  6. Step 6: Final answer
    x = 27,585.68

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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.