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Finding the Fourth Proportional to 68,475.40, 102,731.10 and 21,728.20

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Solution

The fourth proportional to 68,475.40, 102,731.10 and 21,728.20 is: 32,598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,475.40 : 102,731.10 = 21,728.20 : x
  2. Step 2: Convert to fraction form
    68,475.40/102,731.10 = 21,728.20/x
  3. Step 3: Cross multiply
    68,475.40x = 102,731.10 × 21,728.20
  4. Step 4: Simplify right side
    68,475.40x = 2,232,161,887.02
  5. Step 5: Solve for x
    x = 2,232,161,887.02/68,475.40
  6. Step 6: Final answer
    x = 32,598.01

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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.