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Finding the Fourth Proportional to 270,707.18, 405,981.92 and 81,159.98

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Solution

The fourth proportional to 270,707.18, 405,981.92 and 81,159.98 is: 121,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,707.18 : 405,981.92 = 81,159.98 : x
  2. Step 2: Convert to fraction form
    270,707.18/405,981.92 = 81,159.98/x
  3. Step 3: Cross multiply
    270,707.18x = 405,981.92 × 81,159.98
  4. Step 4: Simplify right side
    270,707.18x = 32,949,482,680.55
  5. Step 5: Solve for x
    x = 32,949,482,680.55/270,707.18
  6. Step 6: Final answer
    x = 121,716.33

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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.