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Finding the Fourth Proportional to 57,039.40, 78,711.78 and 31,546

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Solution

The fourth proportional to 57,039.40, 78,711.78 and 31,546 is: 43,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,039.40 : 78,711.78 = 31,546 : x
  2. Step 2: Convert to fraction form
    57,039.40/78,711.78 = 31,546/x
  3. Step 3: Cross multiply
    57,039.40x = 78,711.78 × 31,546
  4. Step 4: Simplify right side
    57,039.40x = 2,483,041,811.88
  5. Step 5: Solve for x
    x = 2,483,041,811.88/57,039.40
  6. Step 6: Final answer
    x = 43,532.05

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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.