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Finding the Fourth Proportional to 56,917.92, 78,531 and 36,775.68

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Solution

The fourth proportional to 56,917.92, 78,531 and 36,775.68 is: 50,740.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,917.92 : 78,531 = 36,775.68 : x
  2. Step 2: Convert to fraction form
    56,917.92/78,531 = 36,775.68/x
  3. Step 3: Cross multiply
    56,917.92x = 78,531 × 36,775.68
  4. Step 4: Simplify right side
    56,917.92x = 2,888,030,926.08
  5. Step 5: Solve for x
    x = 2,888,030,926.08/56,917.92
  6. Step 6: Final answer
    x = 50,740.28

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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.