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Finding the Fourth Proportional to 65,180, 89,948.40 and 35,372

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Solution

The fourth proportional to 65,180, 89,948.40 and 35,372 is: 48,813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,180 : 89,948.40 = 35,372 : x
  2. Step 2: Convert to fraction form
    65,180/89,948.40 = 35,372/x
  3. Step 3: Cross multiply
    65,180x = 89,948.40 × 35,372
  4. Step 4: Simplify right side
    65,180x = 3,181,654,804.80
  5. Step 5: Solve for x
    x = 3,181,654,804.80/65,180
  6. Step 6: Final answer
    x = 48,813.36

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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.