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Finding the Fourth Proportional to 217,080,692.80, 325,526,560.80 and 71,457,985.60

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Solution

The fourth proportional to 217,080,692.80, 325,526,560.80 and 71,457,985.60 is: 107,155,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,080,692.80 : 325,526,560.80 = 71,457,985.60 : x
  2. Step 2: Convert to fraction form
    217,080,692.80/325,526,560.80 = 71,457,985.60/x
  3. Step 3: Cross multiply
    217,080,692.80x = 325,526,560.80 × 71,457,985.60
  4. Step 4: Simplify right side
    217,080,692.80x = 23,261,472,294,063,924
  5. Step 5: Solve for x
    x = 23,261,472,294,063,924/217,080,692.80
  6. Step 6: Final answer
    x = 107,155,878.28

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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.