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Finding the Fourth Proportional to 270,804.78, 406,225.61 and 71,124.81

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Solution

The fourth proportional to 270,804.78, 406,225.61 and 71,124.81 is: 106,692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,804.78 : 406,225.61 = 71,124.81 : x
  2. Step 2: Convert to fraction form
    270,804.78/406,225.61 = 71,124.81/x
  3. Step 3: Cross multiply
    270,804.78x = 406,225.61 × 71,124.81
  4. Step 4: Simplify right side
    270,804.78x = 28,892,718,972.76
  5. Step 5: Solve for x
    x = 28,892,718,972.76/270,804.78
  6. Step 6: Final answer
    x = 106,692.06

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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.