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Finding the Fourth Proportional to 76,851.38, 106,055.72 and 43,317.38

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Solution

The fourth proportional to 76,851.38, 106,055.72 and 43,317.38 is: 59,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,851.38 : 106,055.72 = 43,317.38 : x
  2. Step 2: Convert to fraction form
    76,851.38/106,055.72 = 43,317.38/x
  3. Step 3: Cross multiply
    76,851.38x = 106,055.72 × 43,317.38
  4. Step 4: Simplify right side
    76,851.38x = 4,594,055,177.55
  5. Step 5: Solve for x
    x = 4,594,055,177.55/76,851.38
  6. Step 6: Final answer
    x = 59,778.44

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1.5x scale

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.