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Finding the Fourth Proportional to 133,109.94, 183,692.60 and 72,681

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Solution

The fourth proportional to 133,109.94, 183,692.60 and 72,681 is: 100,300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,109.94 : 183,692.60 = 72,681 : x
  2. Step 2: Convert to fraction form
    133,109.94/183,692.60 = 72,681/x
  3. Step 3: Cross multiply
    133,109.94x = 183,692.60 × 72,681
  4. Step 4: Simplify right side
    133,109.94x = 13,350,961,860.60
  5. Step 5: Solve for x
    x = 13,350,961,860.60/133,109.94
  6. Step 6: Final answer
    x = 100,300.26

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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.