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Finding the Fourth Proportional to 71,675.48, 98,914.70 and 39,412.55

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Solution

The fourth proportional to 71,675.48, 98,914.70 and 39,412.55 is: 54,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,675.48 : 98,914.70 = 39,412.55 : x
  2. Step 2: Convert to fraction form
    71,675.48/98,914.70 = 39,412.55/x
  3. Step 3: Cross multiply
    71,675.48x = 98,914.70 × 39,412.55
  4. Step 4: Simplify right side
    71,675.48x = 3,898,480,627.11
  5. Step 5: Solve for x
    x = 3,898,480,627.11/71,675.48
  6. Step 6: Final answer
    x = 54,390.71

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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.