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Finding the Fourth Proportional to 97,740, 146,610 and 35,410.50

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Solution

The fourth proportional to 97,740, 146,610 and 35,410.50 is: 53,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,740 : 146,610 = 35,410.50 : x
  2. Step 2: Convert to fraction form
    97,740/146,610 = 35,410.50/x
  3. Step 3: Cross multiply
    97,740x = 146,610 × 35,410.50
  4. Step 4: Simplify right side
    97,740x = 5,191,533,405
  5. Step 5: Solve for x
    x = 5,191,533,405/97,740
  6. Step 6: Final answer
    x = 53,115.75

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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.