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Finding the Fourth Proportional to 136,403.20, 205,042.20 and 97,231.60

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Solution

The fourth proportional to 136,403.20, 205,042.20 and 97,231.60 is: 146,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,403.20 : 205,042.20 = 97,231.60 : x
  2. Step 2: Convert to fraction form
    136,403.20/205,042.20 = 97,231.60/x
  3. Step 3: Cross multiply
    136,403.20x = 205,042.20 × 97,231.60
  4. Step 4: Simplify right side
    136,403.20x = 19,936,581,173.52
  5. Step 5: Solve for x
    x = 19,936,581,173.52/136,403.20
  6. Step 6: Final answer
    x = 146,159.19

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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.