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Finding the Fourth Proportional to 48,159, 66,459.42 and 31,392

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Solution

The fourth proportional to 48,159, 66,459.42 and 31,392 is: 43,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,159 : 66,459.42 = 31,392 : x
  2. Step 2: Convert to fraction form
    48,159/66,459.42 = 31,392/x
  3. Step 3: Cross multiply
    48,159x = 66,459.42 × 31,392
  4. Step 4: Simplify right side
    48,159x = 2,086,294,112.64
  5. Step 5: Solve for x
    x = 2,086,294,112.64/48,159
  6. Step 6: Final answer
    x = 43,320.96

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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.