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Finding the Fourth Proportional to 128,739.40, 193,109.10 and 97,635.40

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Solution

The fourth proportional to 128,739.40, 193,109.10 and 97,635.40 is: 146,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,739.40 : 193,109.10 = 97,635.40 : x
  2. Step 2: Convert to fraction form
    128,739.40/193,109.10 = 97,635.40/x
  3. Step 3: Cross multiply
    128,739.40x = 193,109.10 × 97,635.40
  4. Step 4: Simplify right side
    128,739.40x = 18,854,284,222.14
  5. Step 5: Solve for x
    x = 18,854,284,222.14/128,739.40
  6. Step 6: Final answer
    x = 146,453.10

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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.