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Finding the Fourth Proportional to 75,129.80, 112,676.70 and 43,471.40

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Solution

The fourth proportional to 75,129.80, 112,676.70 and 43,471.40 is: 65,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,129.80 : 112,676.70 = 43,471.40 : x
  2. Step 2: Convert to fraction form
    75,129.80/112,676.70 = 43,471.40/x
  3. Step 3: Cross multiply
    75,129.80x = 112,676.70 × 43,471.40
  4. Step 4: Simplify right side
    75,129.80x = 4,898,213,896.38
  5. Step 5: Solve for x
    x = 4,898,213,896.38/75,129.80
  6. Step 6: Final answer
    x = 65,196.68

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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.