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Finding the Fourth Proportional to 57,287.70, 85,834.35 and 47,373.30

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Solution

The fourth proportional to 57,287.70, 85,834.35 and 47,373.30 is: 70,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,287.70 : 85,834.35 = 47,373.30 : x
  2. Step 2: Convert to fraction form
    57,287.70/85,834.35 = 47,373.30/x
  3. Step 3: Cross multiply
    57,287.70x = 85,834.35 × 47,373.30
  4. Step 4: Simplify right side
    57,287.70x = 4,066,256,412.86
  5. Step 5: Solve for x
    x = 4,066,256,412.86/57,287.70
  6. Step 6: Final answer
    x = 70,979.57

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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.