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Finding the Fourth Proportional to 57,703.60, 86,628.30 and 31,070.80

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Solution

The fourth proportional to 57,703.60, 86,628.30 and 31,070.80 is: 46,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,703.60 : 86,628.30 = 31,070.80 : x
  2. Step 2: Convert to fraction form
    57,703.60/86,628.30 = 31,070.80/x
  3. Step 3: Cross multiply
    57,703.60x = 86,628.30 × 31,070.80
  4. Step 4: Simplify right side
    57,703.60x = 2,691,610,583.64
  5. Step 5: Solve for x
    x = 2,691,610,583.64/57,703.60
  6. Step 6: Final answer
    x = 46,645.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.