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Finding the Fourth Proportional to 51,879.96, 77,829.06 and 21,484.76

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Solution

The fourth proportional to 51,879.96, 77,829.06 and 21,484.76 is: 32,230.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,879.96 : 77,829.06 = 21,484.76 : x
  2. Step 2: Convert to fraction form
    51,879.96/77,829.06 = 21,484.76/x
  3. Step 3: Cross multiply
    51,879.96x = 77,829.06 × 21,484.76
  4. Step 4: Simplify right side
    51,879.96x = 1,672,138,675.13
  5. Step 5: Solve for x
    x = 1,672,138,675.13/51,879.96
  6. Step 6: Final answer
    x = 32,230.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.