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Finding the Fourth Proportional to 205,551.32, 308,327.12 and 55,791.64

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Solution

The fourth proportional to 205,551.32, 308,327.12 and 55,791.64 is: 83,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,551.32 : 308,327.12 = 55,791.64 : x
  2. Step 2: Convert to fraction form
    205,551.32/308,327.12 = 55,791.64/x
  3. Step 3: Cross multiply
    205,551.32x = 308,327.12 × 55,791.64
  4. Step 4: Simplify right side
    205,551.32x = 17,202,075,681.28
  5. Step 5: Solve for x
    x = 17,202,075,681.28/205,551.32
  6. Step 6: Final answer
    x = 83,687.50

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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.