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Finding the Fourth Proportional to 55,379.79, 76,425.84 and 31,509.90

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Solution

The fourth proportional to 55,379.79, 76,425.84 and 31,509.90 is: 43,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,379.79 : 76,425.84 = 31,509.90 : x
  2. Step 2: Convert to fraction form
    55,379.79/76,425.84 = 31,509.90/x
  3. Step 3: Cross multiply
    55,379.79x = 76,425.84 × 31,509.90
  4. Step 4: Simplify right side
    55,379.79x = 2,408,170,575.82
  5. Step 5: Solve for x
    x = 2,408,170,575.82/55,379.79
  6. Step 6: Final answer
    x = 43,484.65

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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.