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Finding the Fourth Proportional to 270,681.62, 406,078.45 and 81,134.33

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Solution

The fourth proportional to 270,681.62, 406,078.45 and 81,134.33 is: 121,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,681.62 : 406,078.45 = 81,134.33 : x
  2. Step 2: Convert to fraction form
    270,681.62/406,078.45 = 81,134.33/x
  3. Step 3: Cross multiply
    270,681.62x = 406,078.45 × 81,134.33
  4. Step 4: Simplify right side
    270,681.62x = 32,946,900,734.96
  5. Step 5: Solve for x
    x = 32,946,900,734.96/270,681.62
  6. Step 6: Final answer
    x = 121,718.28

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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.