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Finding the Fourth Proportional to 85,157.70, 117,521.26 and 47,431.94

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Solution

The fourth proportional to 85,157.70, 117,521.26 and 47,431.94 is: 65,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,157.70 : 117,521.26 = 47,431.94 : x
  2. Step 2: Convert to fraction form
    85,157.70/117,521.26 = 47,431.94/x
  3. Step 3: Cross multiply
    85,157.70x = 117,521.26 × 47,431.94
  4. Step 4: Simplify right side
    85,157.70x = 5,574,261,353.04
  5. Step 5: Solve for x
    x = 5,574,261,353.04/85,157.70
  6. Step 6: Final answer
    x = 65,458.10

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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.