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Finding the Fourth Proportional to 56,771.04, 78,343.02 and 31,620

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Solution

The fourth proportional to 56,771.04, 78,343.02 and 31,620 is: 43,635.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,771.04 : 78,343.02 = 31,620 : x
  2. Step 2: Convert to fraction form
    56,771.04/78,343.02 = 31,620/x
  3. Step 3: Cross multiply
    56,771.04x = 78,343.02 × 31,620
  4. Step 4: Simplify right side
    56,771.04x = 2,477,206,292.40
  5. Step 5: Solve for x
    x = 2,477,206,292.40/56,771.04
  6. Step 6: Final answer
    x = 43,635.03

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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.