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Finding the Fourth Proportional to 53,012.72, 73,158.90 and 29,140

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Solution

The fourth proportional to 53,012.72, 73,158.90 and 29,140 is: 40,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,012.72 : 73,158.90 = 29,140 : x
  2. Step 2: Convert to fraction form
    53,012.72/73,158.90 = 29,140/x
  3. Step 3: Cross multiply
    53,012.72x = 73,158.90 × 29,140
  4. Step 4: Simplify right side
    53,012.72x = 2,131,850,346.00
  5. Step 5: Solve for x
    x = 2,131,850,346.00/53,012.72
  6. Step 6: Final answer
    x = 40,213.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.