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Finding the Fourth Proportional to 71,648.49, 98,876.93 and 41,430.90

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Solution

The fourth proportional to 71,648.49, 98,876.93 and 41,430.90 is: 57,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,648.49 : 98,876.93 = 41,430.90 : x
  2. Step 2: Convert to fraction form
    71,648.49/98,876.93 = 41,430.90/x
  3. Step 3: Cross multiply
    71,648.49x = 98,876.93 × 41,430.90
  4. Step 4: Simplify right side
    71,648.49x = 4,096,559,991.98
  5. Step 5: Solve for x
    x = 4,096,559,991.98/71,648.49
  6. Step 6: Final answer
    x = 57,175.80

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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.