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Finding the Fourth Proportional to 205,322.40, 307,994.64 and 65,091.96

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Solution

The fourth proportional to 205,322.40, 307,994.64 and 65,091.96 is: 97,641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,322.40 : 307,994.64 = 65,091.96 : x
  2. Step 2: Convert to fraction form
    205,322.40/307,994.64 = 65,091.96/x
  3. Step 3: Cross multiply
    205,322.40x = 307,994.64 × 65,091.96
  4. Step 4: Simplify right side
    205,322.40x = 20,047,974,787.09
  5. Step 5: Solve for x
    x = 20,047,974,787.09/205,322.40
  6. Step 6: Final answer
    x = 97,641.44

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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.