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Finding the Fourth Proportional to 57,646, 79,551.48 and 31,150

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Solution

The fourth proportional to 57,646, 79,551.48 and 31,150 is: 42,987

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,646 : 79,551.48 = 31,150 : x
  2. Step 2: Convert to fraction form
    57,646/79,551.48 = 31,150/x
  3. Step 3: Cross multiply
    57,646x = 79,551.48 × 31,150
  4. Step 4: Simplify right side
    57,646x = 2,478,028,602
  5. Step 5: Solve for x
    x = 2,478,028,602/57,646
  6. Step 6: Final answer
    x = 42,987

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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.