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Finding the Fourth Proportional to 270,742.50, 406,113.75 and 73,750.50

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Solution

The fourth proportional to 270,742.50, 406,113.75 and 73,750.50 is: 110,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,742.50 : 406,113.75 = 73,750.50 : x
  2. Step 2: Convert to fraction form
    270,742.50/406,113.75 = 73,750.50/x
  3. Step 3: Cross multiply
    270,742.50x = 406,113.75 × 73,750.50
  4. Step 4: Simplify right side
    270,742.50x = 29,951,092,119.38
  5. Step 5: Solve for x
    x = 29,951,092,119.38/270,742.50
  6. Step 6: Final answer
    x = 110,625.75

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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.