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Finding the Fourth Proportional to 97,239.80, 145,629.30 and 65,905.40

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Solution

The fourth proportional to 97,239.80, 145,629.30 and 65,905.40 is: 98,701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,239.80 : 145,629.30 = 65,905.40 : x
  2. Step 2: Convert to fraction form
    97,239.80/145,629.30 = 65,905.40/x
  3. Step 3: Cross multiply
    97,239.80x = 145,629.30 × 65,905.40
  4. Step 4: Simplify right side
    97,239.80x = 9,597,757,268.22
  5. Step 5: Solve for x
    x = 9,597,757,268.22/97,239.80
  6. Step 6: Final answer
    x = 98,701.94

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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.