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Finding the Fourth Proportional to 56,343.48, 77,750.46 and 31,191

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Solution

The fourth proportional to 56,343.48, 77,750.46 and 31,191 is: 43,041.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,343.48 : 77,750.46 = 31,191 : x
  2. Step 2: Convert to fraction form
    56,343.48/77,750.46 = 31,191/x
  3. Step 3: Cross multiply
    56,343.48x = 77,750.46 × 31,191
  4. Step 4: Simplify right side
    56,343.48x = 2,425,114,597.86
  5. Step 5: Solve for x
    x = 2,425,114,597.86/56,343.48
  6. Step 6: Final answer
    x = 43,041.62

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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.