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Finding the Fourth Proportional to 56,295.71, 77,687.41 and 30,801.78

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Solution

The fourth proportional to 56,295.71, 77,687.41 and 30,801.78 is: 42,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,295.71 : 77,687.41 = 30,801.78 : x
  2. Step 2: Convert to fraction form
    56,295.71/77,687.41 = 30,801.78/x
  3. Step 3: Cross multiply
    56,295.71x = 77,687.41 × 30,801.78
  4. Step 4: Simplify right side
    56,295.71x = 2,392,910,360.47
  5. Step 5: Solve for x
    x = 2,392,910,360.47/56,295.71
  6. Step 6: Final answer
    x = 42,506.09

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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.