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Finding the Fourth Proportional to 85,846.96, 128,764.80 and 29,674

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Solution

The fourth proportional to 85,846.96, 128,764.80 and 29,674 is: 44,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,846.96 : 128,764.80 = 29,674 : x
  2. Step 2: Convert to fraction form
    85,846.96/128,764.80 = 29,674/x
  3. Step 3: Cross multiply
    85,846.96x = 128,764.80 × 29,674
  4. Step 4: Simplify right side
    85,846.96x = 3,820,966,675.20
  5. Step 5: Solve for x
    x = 3,820,966,675.20/85,846.96
  6. Step 6: Final answer
    x = 44,509.05

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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.