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Finding the Fourth Proportional to 56,412.84, 77,850.18 and 31,262.76

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Solution

The fourth proportional to 56,412.84, 77,850.18 and 31,262.76 is: 43,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,412.84 : 77,850.18 = 31,262.76 : x
  2. Step 2: Convert to fraction form
    56,412.84/77,850.18 = 31,262.76/x
  3. Step 3: Cross multiply
    56,412.84x = 77,850.18 × 31,262.76
  4. Step 4: Simplify right side
    56,412.84x = 2,433,811,493.30
  5. Step 5: Solve for x
    x = 2,433,811,493.30/56,412.84
  6. Step 6: Final answer
    x = 43,142.86

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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.