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Finding the Fourth Proportional to 85,119.63, 117,465.90 and 47,394.69

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Solution

The fourth proportional to 85,119.63, 117,465.90 and 47,394.69 is: 65,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,119.63 : 117,465.90 = 47,394.69 : x
  2. Step 2: Convert to fraction form
    85,119.63/117,465.90 = 47,394.69/x
  3. Step 3: Cross multiply
    85,119.63x = 117,465.90 × 47,394.69
  4. Step 4: Simplify right side
    85,119.63x = 5,567,259,916.07
  5. Step 5: Solve for x
    x = 5,567,259,916.07/85,119.63
  6. Step 6: Final answer
    x = 65,405.12

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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.