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Finding the Fourth Proportional to 56,491.82, 77,958.32 and 31,341.32

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Solution

The fourth proportional to 56,491.82, 77,958.32 and 31,341.32 is: 43,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,491.82 : 77,958.32 = 31,341.32 : x
  2. Step 2: Convert to fraction form
    56,491.82/77,958.32 = 31,341.32/x
  3. Step 3: Cross multiply
    56,491.82x = 77,958.32 × 31,341.32
  4. Step 4: Simplify right side
    56,491.82x = 2,443,316,107.28
  5. Step 5: Solve for x
    x = 2,443,316,107.28/56,491.82
  6. Step 6: Final answer
    x = 43,250.80

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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.