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Finding the Fourth Proportional to 85,875.27, 118,509.77 and 47,633.57

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Solution

The fourth proportional to 85,875.27, 118,509.77 and 47,633.57 is: 65,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,875.27 : 118,509.77 = 47,633.57 : x
  2. Step 2: Convert to fraction form
    85,875.27/118,509.77 = 47,633.57/x
  3. Step 3: Cross multiply
    85,875.27x = 118,509.77 × 47,633.57
  4. Step 4: Simplify right side
    85,875.27x = 5,645,043,424.98
  5. Step 5: Solve for x
    x = 5,645,043,424.98/85,875.27
  6. Step 6: Final answer
    x = 65,735.38

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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.