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Finding the Fourth Proportional to 85,145.63, 117,504.61 and 47,419.88

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Solution

The fourth proportional to 85,145.63, 117,504.61 and 47,419.88 is: 65,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,145.63 : 117,504.61 = 47,419.88 : x
  2. Step 2: Convert to fraction form
    85,145.63/117,504.61 = 47,419.88/x
  3. Step 3: Cross multiply
    85,145.63x = 117,504.61 × 47,419.88
  4. Step 4: Simplify right side
    85,145.63x = 5,572,053,918.12
  5. Step 5: Solve for x
    x = 5,572,053,918.12/85,145.63
  6. Step 6: Final answer
    x = 65,441.46

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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.