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Finding the Fourth Proportional to 270,675.98, 406,070.01 and 81,128.69

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Solution

The fourth proportional to 270,675.98, 406,070.01 and 81,128.69 is: 121,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,675.98 : 406,070.01 = 81,128.69 : x
  2. Step 2: Convert to fraction form
    270,675.98/406,070.01 = 81,128.69/x
  3. Step 3: Cross multiply
    270,675.98x = 406,070.01 × 81,128.69
  4. Step 4: Simplify right side
    270,675.98x = 32,943,927,452.00
  5. Step 5: Solve for x
    x = 32,943,927,452.00/270,675.98
  6. Step 6: Final answer
    x = 121,709.83

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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.