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Finding the Fourth Proportional to 55,891.89, 77,130.43 and 31,697.42

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Solution

The fourth proportional to 55,891.89, 77,130.43 and 31,697.42 is: 43,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,891.89 : 77,130.43 = 31,697.42 : x
  2. Step 2: Convert to fraction form
    55,891.89/77,130.43 = 31,697.42/x
  3. Step 3: Cross multiply
    55,891.89x = 77,130.43 × 31,697.42
  4. Step 4: Simplify right side
    55,891.89x = 2,444,835,169.59
  5. Step 5: Solve for x
    x = 2,444,835,169.59/55,891.89
  6. Step 6: Final answer
    x = 43,742.22

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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.