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Finding the Fourth Proportional to 71,431.98, 98,578.53 and 39,598.98

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Solution

The fourth proportional to 71,431.98, 98,578.53 and 39,598.98 is: 54,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,431.98 : 98,578.53 = 39,598.98 : x
  2. Step 2: Convert to fraction form
    71,431.98/98,578.53 = 39,598.98/x
  3. Step 3: Cross multiply
    71,431.98x = 98,578.53 × 39,598.98
  4. Step 4: Simplify right side
    71,431.98x = 3,903,609,237.90
  5. Step 5: Solve for x
    x = 3,903,609,237.90/71,431.98
  6. Step 6: Final answer
    x = 54,647.92

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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.