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Finding the Fourth Proportional to 57,197.96, 78,936.12 and 31,707.04

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Solution

The fourth proportional to 57,197.96, 78,936.12 and 31,707.04 is: 43,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,197.96 : 78,936.12 = 31,707.04 : x
  2. Step 2: Convert to fraction form
    57,197.96/78,936.12 = 31,707.04/x
  3. Step 3: Cross multiply
    57,197.96x = 78,936.12 × 31,707.04
  4. Step 4: Simplify right side
    57,197.96x = 2,502,830,714.28
  5. Step 5: Solve for x
    x = 2,502,830,714.28/57,197.96
  6. Step 6: Final answer
    x = 43,757.34

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1.5x scale

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.