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Finding the Fourth Proportional to 57,115, 85,570.74 and 48,709.74

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Solution

The fourth proportional to 57,115, 85,570.74 and 48,709.74 is: 72,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,115 : 85,570.74 = 48,709.74 : x
  2. Step 2: Convert to fraction form
    57,115/85,570.74 = 48,709.74/x
  3. Step 3: Cross multiply
    57,115x = 85,570.74 × 48,709.74
  4. Step 4: Simplify right side
    57,115x = 4,168,128,497.01
  5. Step 5: Solve for x
    x = 4,168,128,497.01/57,115
  6. Step 6: Final answer
    x = 72,977.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.