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Finding the Fourth Proportional to 56,407.84, 77,843.28 and 31,257.76

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Solution

The fourth proportional to 56,407.84, 77,843.28 and 31,257.76 is: 43,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,407.84 : 77,843.28 = 31,257.76 : x
  2. Step 2: Convert to fraction form
    56,407.84/77,843.28 = 31,257.76/x
  3. Step 3: Cross multiply
    56,407.84x = 77,843.28 × 31,257.76
  4. Step 4: Simplify right side
    56,407.84x = 2,433,206,563.85
  5. Step 5: Solve for x
    x = 2,433,206,563.85/56,407.84
  6. Step 6: Final answer
    x = 43,135.96

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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.