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Finding the Fourth Proportional to 56,513.58, 77,945.49 and 41,400.78

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Solution

The fourth proportional to 56,513.58, 77,945.49 and 41,400.78 is: 57,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,513.58 : 77,945.49 = 41,400.78 : x
  2. Step 2: Convert to fraction form
    56,513.58/77,945.49 = 41,400.78/x
  3. Step 3: Cross multiply
    56,513.58x = 77,945.49 × 41,400.78
  4. Step 4: Simplify right side
    56,513.58x = 3,227,004,083.48
  5. Step 5: Solve for x
    x = 3,227,004,083.48/56,513.58
  6. Step 6: Final answer
    x = 57,101.39

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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.