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Finding the Fourth Proportional to 85,078, 117,407.64 and 47,352.28

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Solution

The fourth proportional to 85,078, 117,407.64 and 47,352.28 is: 65,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,078 : 117,407.64 = 47,352.28 : x
  2. Step 2: Convert to fraction form
    85,078/117,407.64 = 47,352.28/x
  3. Step 3: Cross multiply
    85,078x = 117,407.64 × 47,352.28
  4. Step 4: Simplify right side
    85,078x = 5,559,519,443.42
  5. Step 5: Solve for x
    x = 5,559,519,443.42/85,078
  6. Step 6: Final answer
    x = 65,346.15

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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.