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Finding the Fourth Proportional to 80,657.40, 120,969.90 and 38,537.40

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Solution

The fourth proportional to 80,657.40, 120,969.90 and 38,537.40 is: 57,798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,657.40 : 120,969.90 = 38,537.40 : x
  2. Step 2: Convert to fraction form
    80,657.40/120,969.90 = 38,537.40/x
  3. Step 3: Cross multiply
    80,657.40x = 120,969.90 × 38,537.40
  4. Step 4: Simplify right side
    80,657.40x = 4,661,865,424.26
  5. Step 5: Solve for x
    x = 4,661,865,424.26/80,657.40
  6. Step 6: Final answer
    x = 57,798.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.