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Finding the Fourth Proportional to 56,311.50, 77,709.87 and 31,164.78

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Solution

The fourth proportional to 56,311.50, 77,709.87 and 31,164.78 is: 43,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,311.50 : 77,709.87 = 31,164.78 : x
  2. Step 2: Convert to fraction form
    56,311.50/77,709.87 = 31,164.78/x
  3. Step 3: Cross multiply
    56,311.50x = 77,709.87 × 31,164.78
  4. Step 4: Simplify right side
    56,311.50x = 2,421,811,002.38
  5. Step 5: Solve for x
    x = 2,421,811,002.38/56,311.50
  6. Step 6: Final answer
    x = 43,007.40

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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.