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Finding the Fourth Proportional to 85,431.89, 117,895.53 and 47,194.06

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Solution

The fourth proportional to 85,431.89, 117,895.53 and 47,194.06 is: 65,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,431.89 : 117,895.53 = 47,194.06 : x
  2. Step 2: Convert to fraction form
    85,431.89/117,895.53 = 47,194.06/x
  3. Step 3: Cross multiply
    85,431.89x = 117,895.53 × 47,194.06
  4. Step 4: Simplify right side
    85,431.89x = 5,563,968,421.81
  5. Step 5: Solve for x
    x = 5,563,968,421.81/85,431.89
  6. Step 6: Final answer
    x = 65,127.54

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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.