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Finding the Fourth Proportional to 84,429, 126,643.62 and 29,025

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Solution

The fourth proportional to 84,429, 126,643.62 and 29,025 is: 43,537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,429 : 126,643.62 = 29,025 : x
  2. Step 2: Convert to fraction form
    84,429/126,643.62 = 29,025/x
  3. Step 3: Cross multiply
    84,429x = 126,643.62 × 29,025
  4. Step 4: Simplify right side
    84,429x = 3,675,831,070.50
  5. Step 5: Solve for x
    x = 3,675,831,070.50/84,429
  6. Step 6: Final answer
    x = 43,537.54

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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.