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Finding the Fourth Proportional to 56,903.37, 78,531.12 and 31,414.80

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Solution

The fourth proportional to 56,903.37, 78,531.12 and 31,414.80 is: 43,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,903.37 : 78,531.12 = 31,414.80 : x
  2. Step 2: Convert to fraction form
    56,903.37/78,531.12 = 31,414.80/x
  3. Step 3: Cross multiply
    56,903.37x = 78,531.12 × 31,414.80
  4. Step 4: Simplify right side
    56,903.37x = 2,467,039,428.58
  5. Step 5: Solve for x
    x = 2,467,039,428.58/56,903.37
  6. Step 6: Final answer
    x = 43,354.89

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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.