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Finding the Fourth Proportional to 57,107.34, 78,810.71 and 31,956.84

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Solution

The fourth proportional to 57,107.34, 78,810.71 and 31,956.84 is: 44,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,107.34 : 78,810.71 = 31,956.84 : x
  2. Step 2: Convert to fraction form
    57,107.34/78,810.71 = 31,956.84/x
  3. Step 3: Cross multiply
    57,107.34x = 78,810.71 × 31,956.84
  4. Step 4: Simplify right side
    57,107.34x = 2,518,541,089.97
  5. Step 5: Solve for x
    x = 2,518,541,089.97/57,107.34
  6. Step 6: Final answer
    x = 44,101.88

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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.