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Finding the Fourth Proportional to 209,864.60, 314,869.80 and 91,620.80

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Solution

The fourth proportional to 209,864.60, 314,869.80 and 91,620.80 is: 137,463.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,864.60 : 314,869.80 = 91,620.80 : x
  2. Step 2: Convert to fraction form
    209,864.60/314,869.80 = 91,620.80/x
  3. Step 3: Cross multiply
    209,864.60x = 314,869.80 × 91,620.80
  4. Step 4: Simplify right side
    209,864.60x = 28,848,622,971.84
  5. Step 5: Solve for x
    x = 28,848,622,971.84/209,864.60
  6. Step 6: Final answer
    x = 137,463.03

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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.