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Finding the Fourth Proportional to 99,057.84, 148,231.80 and 85,776.64

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Solution

The fourth proportional to 99,057.84, 148,231.80 and 85,776.64 is: 128,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,057.84 : 148,231.80 = 85,776.64 : x
  2. Step 2: Convert to fraction form
    99,057.84/148,231.80 = 85,776.64/x
  3. Step 3: Cross multiply
    99,057.84x = 148,231.80 × 85,776.64
  4. Step 4: Simplify right side
    99,057.84x = 12,714,825,745.15
  5. Step 5: Solve for x
    x = 12,714,825,745.15/99,057.84
  6. Step 6: Final answer
    x = 128,357.59

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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.