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Finding the Fourth Proportional to 57,058.57, 78,734.77 and 31,560.90

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Solution

The fourth proportional to 57,058.57, 78,734.77 and 31,560.90 is: 43,550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,058.57 : 78,734.77 = 31,560.90 : x
  2. Step 2: Convert to fraction form
    57,058.57/78,734.77 = 31,560.90/x
  3. Step 3: Cross multiply
    57,058.57x = 78,734.77 × 31,560.90
  4. Step 4: Simplify right side
    57,058.57x = 2,484,940,202.49
  5. Step 5: Solve for x
    x = 2,484,940,202.49/57,058.57
  6. Step 6: Final answer
    x = 43,550.69

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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.