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Finding the Fourth Proportional to 85,405.65, 117,859.80 and 47,679.90

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Solution

The fourth proportional to 85,405.65, 117,859.80 and 47,679.90 is: 65,798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,405.65 : 117,859.80 = 47,679.90 : x
  2. Step 2: Convert to fraction form
    85,405.65/117,859.80 = 47,679.90/x
  3. Step 3: Cross multiply
    85,405.65x = 117,859.80 × 47,679.90
  4. Step 4: Simplify right side
    85,405.65x = 5,619,543,478.02
  5. Step 5: Solve for x
    x = 5,619,543,478.02/85,405.65
  6. Step 6: Final answer
    x = 65,798.26

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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.