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Finding the Fourth Proportional to 136,905.20, 205,487.40 and 84,417.20

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Solution

The fourth proportional to 136,905.20, 205,487.40 and 84,417.20 is: 126,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,905.20 : 205,487.40 = 84,417.20 : x
  2. Step 2: Convert to fraction form
    136,905.20/205,487.40 = 84,417.20/x
  3. Step 3: Cross multiply
    136,905.20x = 205,487.40 × 84,417.20
  4. Step 4: Simplify right side
    136,905.20x = 17,346,670,943.28
  5. Step 5: Solve for x
    x = 17,346,670,943.28/136,905.20
  6. Step 6: Final answer
    x = 126,705.71

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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.