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Finding the Fourth Proportional to 85,364.99, 117,810.21 and 47,131.90

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Solution

The fourth proportional to 85,364.99, 117,810.21 and 47,131.90 is: 65,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,364.99 : 117,810.21 = 47,131.90 : x
  2. Step 2: Convert to fraction form
    85,364.99/117,810.21 = 47,131.90/x
  3. Step 3: Cross multiply
    85,364.99x = 117,810.21 × 47,131.90
  4. Step 4: Simplify right side
    85,364.99x = 5,552,618,801.04
  5. Step 5: Solve for x
    x = 5,552,618,801.04/85,364.99
  6. Step 6: Final answer
    x = 65,045.62

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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.