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Finding the Fourth Proportional to 85,675.85, 118,232.65 and 47,950.10

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Solution

The fourth proportional to 85,675.85, 118,232.65 and 47,950.10 is: 66,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,675.85 : 118,232.65 = 47,950.10 : x
  2. Step 2: Convert to fraction form
    85,675.85/118,232.65 = 47,950.10/x
  3. Step 3: Cross multiply
    85,675.85x = 118,232.65 × 47,950.10
  4. Step 4: Simplify right side
    85,675.85x = 5,669,267,390.77
  5. Step 5: Solve for x
    x = 5,669,267,390.77/85,675.85
  6. Step 6: Final answer
    x = 66,171.13

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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.