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Finding the Fourth Proportional to 57,369.90, 78,973.92 and 49,771.50

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Solution

The fourth proportional to 57,369.90, 78,973.92 and 49,771.50 is: 68,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,369.90 : 78,973.92 = 49,771.50 : x
  2. Step 2: Convert to fraction form
    57,369.90/78,973.92 = 49,771.50/x
  3. Step 3: Cross multiply
    57,369.90x = 78,973.92 × 49,771.50
  4. Step 4: Simplify right side
    57,369.90x = 3,930,650,459.28
  5. Step 5: Solve for x
    x = 3,930,650,459.28/57,369.90
  6. Step 6: Final answer
    x = 68,514.16

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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.