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Finding the Fourth Proportional to 57,780, 79,742.88 and 32,631.12

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Solution

The fourth proportional to 57,780, 79,742.88 and 32,631.12 is: 45,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,780 : 79,742.88 = 32,631.12 : x
  2. Step 2: Convert to fraction form
    57,780/79,742.88 = 32,631.12/x
  3. Step 3: Cross multiply
    57,780x = 79,742.88 × 32,631.12
  4. Step 4: Simplify right side
    57,780x = 2,602,099,486.43
  5. Step 5: Solve for x
    x = 2,602,099,486.43/57,780
  6. Step 6: Final answer
    x = 45,034.61

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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.