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Finding the Fourth Proportional to 55,000.96, 75,709.56 and 47,471.20

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Solution

The fourth proportional to 55,000.96, 75,709.56 and 47,471.20 is: 65,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,000.96 : 75,709.56 = 47,471.20 : x
  2. Step 2: Convert to fraction form
    55,000.96/75,709.56 = 47,471.20/x
  3. Step 3: Cross multiply
    55,000.96x = 75,709.56 × 47,471.20
  4. Step 4: Simplify right side
    55,000.96x = 3,594,023,664.67
  5. Step 5: Solve for x
    x = 3,594,023,664.67/55,000.96
  6. Step 6: Final answer
    x = 65,344.74

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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.