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Finding the Fourth Proportional to 85,410.86, 117,868.64 and 47,170.22

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Solution

The fourth proportional to 85,410.86, 117,868.64 and 47,170.22 is: 65,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,410.86 : 117,868.64 = 47,170.22 : x
  2. Step 2: Convert to fraction form
    85,410.86/117,868.64 = 47,170.22/x
  3. Step 3: Cross multiply
    85,410.86x = 117,868.64 × 47,170.22
  4. Step 4: Simplify right side
    85,410.86x = 5,559,888,854.71
  5. Step 5: Solve for x
    x = 5,559,888,854.71/85,410.86
  6. Step 6: Final answer
    x = 65,095.81

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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.