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Finding the Fourth Proportional to 85,874.02, 128,822.72 and 29,699.06

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Solution

The fourth proportional to 85,874.02, 128,822.72 and 29,699.06 is: 44,552.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,874.02 : 128,822.72 = 29,699.06 : x
  2. Step 2: Convert to fraction form
    85,874.02/128,822.72 = 29,699.06/x
  3. Step 3: Cross multiply
    85,874.02x = 128,822.72 × 29,699.06
  4. Step 4: Simplify right side
    85,874.02x = 3,825,912,898.03
  5. Step 5: Solve for x
    x = 3,825,912,898.03/85,874.02
  6. Step 6: Final answer
    x = 44,552.62

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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.