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Finding the Fourth Proportional to 85,874.10, 128,822.85 and 29,699.15

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Solution

The fourth proportional to 85,874.10, 128,822.85 and 29,699.15 is: 44,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,874.10 : 128,822.85 = 29,699.15 : x
  2. Step 2: Convert to fraction form
    85,874.10/128,822.85 = 29,699.15/x
  3. Step 3: Cross multiply
    85,874.10x = 128,822.85 × 29,699.15
  4. Step 4: Simplify right side
    85,874.10x = 3,825,928,501.46
  5. Step 5: Solve for x
    x = 3,825,928,501.46/85,874.10
  6. Step 6: Final answer
    x = 44,552.76

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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.