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Finding the Fourth Proportional to 97,485.60, 146,266.80 and 38,311.20

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Solution

The fourth proportional to 97,485.60, 146,266.80 and 38,311.20 is: 57,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,485.60 : 146,266.80 = 38,311.20 : x
  2. Step 2: Convert to fraction form
    97,485.60/146,266.80 = 38,311.20/x
  3. Step 3: Cross multiply
    97,485.60x = 146,266.80 × 38,311.20
  4. Step 4: Simplify right side
    97,485.60x = 5,603,656,628.16
  5. Step 5: Solve for x
    x = 5,603,656,628.16/97,485.60
  6. Step 6: Final answer
    x = 57,481.89

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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.