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Finding the Fourth Proportional to 71,481.74, 107,053.11 and 56,642.94

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Solution

The fourth proportional to 71,481.74, 107,053.11 and 56,642.94 is: 84,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,481.74 : 107,053.11 = 56,642.94 : x
  2. Step 2: Convert to fraction form
    71,481.74/107,053.11 = 56,642.94/x
  3. Step 3: Cross multiply
    71,481.74x = 107,053.11 × 56,642.94
  4. Step 4: Simplify right side
    71,481.74x = 6,063,802,886.54
  5. Step 5: Solve for x
    x = 6,063,802,886.54/71,481.74
  6. Step 6: Final answer
    x = 84,830.10

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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.