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Finding the Fourth Proportional to 57,107.52, 78,804 and 31,953.60

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Solution

The fourth proportional to 57,107.52, 78,804 and 31,953.60 is: 44,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,107.52 : 78,804 = 31,953.60 : x
  2. Step 2: Convert to fraction form
    57,107.52/78,804 = 31,953.60/x
  3. Step 3: Cross multiply
    57,107.52x = 78,804 × 31,953.60
  4. Step 4: Simplify right side
    57,107.52x = 2,518,071,494.40
  5. Step 5: Solve for x
    x = 2,518,071,494.40/57,107.52
  6. Step 6: Final answer
    x = 44,093.52

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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.