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Finding the Fourth Proportional to 97,322.67, 134,329.75 and 54,905.80

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Solution

The fourth proportional to 97,322.67, 134,329.75 and 54,905.80 is: 75,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,322.67 : 134,329.75 = 54,905.80 : x
  2. Step 2: Convert to fraction form
    97,322.67/134,329.75 = 54,905.80/x
  3. Step 3: Cross multiply
    97,322.67x = 134,329.75 × 54,905.80
  4. Step 4: Simplify right side
    97,322.67x = 7,375,482,387.55
  5. Step 5: Solve for x
    x = 7,375,482,387.55/97,322.67
  6. Step 6: Final answer
    x = 75,783.81

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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.