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Finding the Fourth Proportional to 56,687.60, 78,234 and 31,199.06

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Solution

The fourth proportional to 56,687.60, 78,234 and 31,199.06 is: 43,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,687.60 : 78,234 = 31,199.06 : x
  2. Step 2: Convert to fraction form
    56,687.60/78,234 = 31,199.06/x
  3. Step 3: Cross multiply
    56,687.60x = 78,234 × 31,199.06
  4. Step 4: Simplify right side
    56,687.60x = 2,440,827,260.04
  5. Step 5: Solve for x
    x = 2,440,827,260.04/56,687.60
  6. Step 6: Final answer
    x = 43,057.52

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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.