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Finding the Fourth Proportional to 75,876.50, 113,736.99 and 31,529

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Solution

The fourth proportional to 75,876.50, 113,736.99 and 31,529 is: 47,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,876.50 : 113,736.99 = 31,529 : x
  2. Step 2: Convert to fraction form
    75,876.50/113,736.99 = 31,529/x
  3. Step 3: Cross multiply
    75,876.50x = 113,736.99 × 31,529
  4. Step 4: Simplify right side
    75,876.50x = 3,586,013,557.71
  5. Step 5: Solve for x
    x = 3,586,013,557.71/75,876.50
  6. Step 6: Final answer
    x = 47,261.19

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1.5x scale

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.