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Finding the Fourth Proportional to 77,660.64, 116,461.40 and 27,731.44

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Solution

The fourth proportional to 77,660.64, 116,461.40 and 27,731.44 is: 41,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,660.64 : 116,461.40 = 27,731.44 : x
  2. Step 2: Convert to fraction form
    77,660.64/116,461.40 = 27,731.44/x
  3. Step 3: Cross multiply
    77,660.64x = 116,461.40 × 27,731.44
  4. Step 4: Simplify right side
    77,660.64x = 3,229,642,326.42
  5. Step 5: Solve for x
    x = 3,229,642,326.42/77,660.64
  6. Step 6: Final answer
    x = 41,586.60

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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.