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Finding the Fourth Proportional to 56,745, 78,309.54 and 31,593.96

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Solution

The fourth proportional to 56,745, 78,309.54 and 31,593.96 is: 43,600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,745 : 78,309.54 = 31,593.96 : x
  2. Step 2: Convert to fraction form
    56,745/78,309.54 = 31,593.96/x
  3. Step 3: Cross multiply
    56,745x = 78,309.54 × 31,593.96
  4. Step 4: Simplify right side
    56,745x = 2,474,108,474.38
  5. Step 5: Solve for x
    x = 2,474,108,474.38/56,745
  6. Step 6: Final answer
    x = 43,600.47

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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.