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Finding the Fourth Proportional to 57,109, 85,561.74 and 48,703.74

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Solution

The fourth proportional to 57,109, 85,561.74 and 48,703.74 is: 72,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,109 : 85,561.74 = 48,703.74 : x
  2. Step 2: Convert to fraction form
    57,109/85,561.74 = 48,703.74/x
  3. Step 3: Cross multiply
    57,109x = 85,561.74 × 48,703.74
  4. Step 4: Simplify right side
    57,109x = 4,167,176,738.91
  5. Step 5: Solve for x
    x = 4,167,176,738.91/57,109
  6. Step 6: Final answer
    x = 72,968.83

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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.