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Finding the Fourth Proportional to 85,070, 117,396.60 and 47,346.68

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Solution

The fourth proportional to 85,070, 117,396.60 and 47,346.68 is: 65,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,070 : 117,396.60 = 47,346.68 : x
  2. Step 2: Convert to fraction form
    85,070/117,396.60 = 47,346.68/x
  3. Step 3: Cross multiply
    85,070x = 117,396.60 × 47,346.68
  4. Step 4: Simplify right side
    85,070x = 5,558,339,253.29
  5. Step 5: Solve for x
    x = 5,558,339,253.29/85,070
  6. Step 6: Final answer
    x = 65,338.42

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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.