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Finding the Fourth Proportional to 56,194, 77,540.88 and 31,043.68

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Solution

The fourth proportional to 56,194, 77,540.88 and 31,043.68 is: 42,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,194 : 77,540.88 = 31,043.68 : x
  2. Step 2: Convert to fraction form
    56,194/77,540.88 = 31,043.68/x
  3. Step 3: Cross multiply
    56,194x = 77,540.88 × 31,043.68
  4. Step 4: Simplify right side
    56,194x = 2,407,154,265.64
  5. Step 5: Solve for x
    x = 2,407,154,265.64/56,194
  6. Step 6: Final answer
    x = 42,836.50

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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.