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Finding the Fourth Proportional to 57,058.51, 78,734.64 and 31,560.82

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Solution

The fourth proportional to 57,058.51, 78,734.64 and 31,560.82 is: 43,550.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,058.51 : 78,734.64 = 31,560.82 : x
  2. Step 2: Convert to fraction form
    57,058.51/78,734.64 = 31,560.82/x
  3. Step 3: Cross multiply
    57,058.51x = 78,734.64 × 31,560.82
  4. Step 4: Simplify right side
    57,058.51x = 2,484,929,800.80
  5. Step 5: Solve for x
    x = 2,484,929,800.80/57,058.51
  6. Step 6: Final answer
    x = 43,550.56

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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.