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Finding the Fourth Proportional to 65,131.94, 97,697.88 and 18,384.81

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Solution

The fourth proportional to 65,131.94, 97,697.88 and 18,384.81 is: 27,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,131.94 : 97,697.88 = 18,384.81 : x
  2. Step 2: Convert to fraction form
    65,131.94/97,697.88 = 18,384.81/x
  3. Step 3: Cross multiply
    65,131.94x = 97,697.88 × 18,384.81
  4. Step 4: Simplify right side
    65,131.94x = 1,796,156,961.20
  5. Step 5: Solve for x
    x = 1,796,156,961.20/65,131.94
  6. Step 6: Final answer
    x = 27,577.21

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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.