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Finding the Fourth Proportional to 56,757.78, 78,243.91 and 39,709.20

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Solution

The fourth proportional to 56,757.78, 78,243.91 and 39,709.20 is: 54,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,757.78 : 78,243.91 = 39,709.20 : x
  2. Step 2: Convert to fraction form
    56,757.78/78,243.91 = 39,709.20/x
  3. Step 3: Cross multiply
    56,757.78x = 78,243.91 × 39,709.20
  4. Step 4: Simplify right side
    56,757.78x = 3,107,003,265.11
  5. Step 5: Solve for x
    x = 3,107,003,265.11/56,757.78
  6. Step 6: Final answer
    x = 54,741.45

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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.