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Finding the Fourth Proportional to 51,338.73, 77,008.04 and 19,323.78

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Solution

The fourth proportional to 51,338.73, 77,008.04 and 19,323.78 is: 28,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,338.73 : 77,008.04 = 19,323.78 : x
  2. Step 2: Convert to fraction form
    51,338.73/77,008.04 = 19,323.78/x
  3. Step 3: Cross multiply
    51,338.73x = 77,008.04 × 19,323.78
  4. Step 4: Simplify right side
    51,338.73x = 1,488,086,471.50
  5. Step 5: Solve for x
    x = 1,488,086,471.50/51,338.73
  6. Step 6: Final answer
    x = 28,985.65

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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.