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Finding the Fourth Proportional to 57,705, 79,632.92 and 31,209

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Solution

The fourth proportional to 57,705, 79,632.92 and 31,209 is: 43,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,705 : 79,632.92 = 31,209 : x
  2. Step 2: Convert to fraction form
    57,705/79,632.92 = 31,209/x
  3. Step 3: Cross multiply
    57,705x = 79,632.92 × 31,209
  4. Step 4: Simplify right side
    57,705x = 2,485,263,800.28
  5. Step 5: Solve for x
    x = 2,485,263,800.28/57,705
  6. Step 6: Final answer
    x = 43,068.43

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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.