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Finding the Fourth Proportional to 201,904.80, 278,640 and 114,692.64

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Solution

The fourth proportional to 201,904.80, 278,640 and 114,692.64 is: 158,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,904.80 : 278,640 = 114,692.64 : x
  2. Step 2: Convert to fraction form
    201,904.80/278,640 = 114,692.64/x
  3. Step 3: Cross multiply
    201,904.80x = 278,640 × 114,692.64
  4. Step 4: Simplify right side
    201,904.80x = 31,957,957,209.60
  5. Step 5: Solve for x
    x = 31,957,957,209.60/201,904.80
  6. Step 6: Final answer
    x = 158,282.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.