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Finding the Fourth Proportional to 270,922.51, 406,380.79 and 81,374.68

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Solution

The fourth proportional to 270,922.51, 406,380.79 and 81,374.68 is: 122,061.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,922.51 : 406,380.79 = 81,374.68 : x
  2. Step 2: Convert to fraction form
    270,922.51/406,380.79 = 81,374.68/x
  3. Step 3: Cross multiply
    270,922.51x = 406,380.79 × 81,374.68
  4. Step 4: Simplify right side
    270,922.51x = 33,069,106,744.40
  5. Step 5: Solve for x
    x = 33,069,106,744.40/270,922.51
  6. Step 6: Final answer
    x = 122,061.13

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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.