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Finding the Fourth Proportional to 57,054.60, 78,735.60 and 31,904.04

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Solution

The fourth proportional to 57,054.60, 78,735.60 and 31,904.04 is: 44,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,054.60 : 78,735.60 = 31,904.04 : x
  2. Step 2: Convert to fraction form
    57,054.60/78,735.60 = 31,904.04/x
  3. Step 3: Cross multiply
    57,054.60x = 78,735.60 × 31,904.04
  4. Step 4: Simplify right side
    57,054.60x = 2,511,983,731.82
  5. Step 5: Solve for x
    x = 2,511,983,731.82/57,054.60
  6. Step 6: Final answer
    x = 44,027.72

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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.