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Finding the Fourth Proportional to 57,242.58, 78,987.24 and 31,748.64

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Solution

The fourth proportional to 57,242.58, 78,987.24 and 31,748.64 is: 43,808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242.58 : 78,987.24 = 31,748.64 : x
  2. Step 2: Convert to fraction form
    57,242.58/78,987.24 = 31,748.64/x
  3. Step 3: Cross multiply
    57,242.58x = 78,987.24 × 31,748.64
  4. Step 4: Simplify right side
    57,242.58x = 2,507,737,447.35
  5. Step 5: Solve for x
    x = 2,507,737,447.35/57,242.58
  6. Step 6: Final answer
    x = 43,808.95

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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.