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Finding the Fourth Proportional to 83,893.12, 125,861.46 and 31,303

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Solution

The fourth proportional to 83,893.12, 125,861.46 and 31,303 is: 46,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,893.12 : 125,861.46 = 31,303 : x
  2. Step 2: Convert to fraction form
    83,893.12/125,861.46 = 31,303/x
  3. Step 3: Cross multiply
    83,893.12x = 125,861.46 × 31,303
  4. Step 4: Simplify right side
    83,893.12x = 3,939,841,282.38
  5. Step 5: Solve for x
    x = 3,939,841,282.38/83,893.12
  6. Step 6: Final answer
    x = 46,962.63

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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.