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Finding the Fourth Proportional to 55,851.93, 77,079.20 and 31,986.50

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Solution

The fourth proportional to 55,851.93, 77,079.20 and 31,986.50 is: 44,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,851.93 : 77,079.20 = 31,986.50 : x
  2. Step 2: Convert to fraction form
    55,851.93/77,079.20 = 31,986.50/x
  3. Step 3: Cross multiply
    55,851.93x = 77,079.20 × 31,986.50
  4. Step 4: Simplify right side
    55,851.93x = 2,465,493,285.47
  5. Step 5: Solve for x
    x = 2,465,493,285.47/55,851.93
  6. Step 6: Final answer
    x = 44,143.39

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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.