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Finding the Fourth Proportional to 137,211.60, 205,428.60 and 123,214.80

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Solution

The fourth proportional to 137,211.60, 205,428.60 and 123,214.80 is: 184,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,211.60 : 205,428.60 = 123,214.80 : x
  2. Step 2: Convert to fraction form
    137,211.60/205,428.60 = 123,214.80/x
  3. Step 3: Cross multiply
    137,211.60x = 205,428.60 × 123,214.80
  4. Step 4: Simplify right side
    137,211.60x = 25,311,843,863.28
  5. Step 5: Solve for x
    x = 25,311,843,863.28/137,211.60
  6. Step 6: Final answer
    x = 184,473.06

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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.