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Finding the Fourth Proportional to 56,899.81, 78,520.64 and 31,404.68

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Solution

The fourth proportional to 56,899.81, 78,520.64 and 31,404.68 is: 43,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,899.81 : 78,520.64 = 31,404.68 : x
  2. Step 2: Convert to fraction form
    56,899.81/78,520.64 = 31,404.68/x
  3. Step 3: Cross multiply
    56,899.81x = 78,520.64 × 31,404.68
  4. Step 4: Simplify right side
    56,899.81x = 2,465,915,022.97
  5. Step 5: Solve for x
    x = 2,465,915,022.97/56,899.81
  6. Step 6: Final answer
    x = 43,337.84

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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.