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Finding the Fourth Proportional to 85,847.46, 128,765.55 and 29,674.50

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Solution

The fourth proportional to 85,847.46, 128,765.55 and 29,674.50 is: 44,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,847.46 : 128,765.55 = 29,674.50 : x
  2. Step 2: Convert to fraction form
    85,847.46/128,765.55 = 29,674.50/x
  3. Step 3: Cross multiply
    85,847.46x = 128,765.55 × 29,674.50
  4. Step 4: Simplify right side
    85,847.46x = 3,821,053,313.48
  5. Step 5: Solve for x
    x = 3,821,053,313.48/85,847.46
  6. Step 6: Final answer
    x = 44,509.80

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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.