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Finding the Fourth Proportional to 71,135.59, 106,709.43 and 29,018.53

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Solution

The fourth proportional to 71,135.59, 106,709.43 and 29,018.53 is: 43,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,135.59 : 106,709.43 = 29,018.53 : x
  2. Step 2: Convert to fraction form
    71,135.59/106,709.43 = 29,018.53/x
  3. Step 3: Cross multiply
    71,135.59x = 106,709.43 × 29,018.53
  4. Step 4: Simplify right side
    71,135.59x = 3,096,550,492.98
  5. Step 5: Solve for x
    x = 3,096,550,492.98/71,135.59
  6. Step 6: Final answer
    x = 43,530.26

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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.