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Finding the Fourth Proportional to 243,008.45, 364,470.65 and 109,857.74

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Solution

The fourth proportional to 243,008.45, 364,470.65 and 109,857.74 is: 164,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,008.45 : 364,470.65 = 109,857.74 : x
  2. Step 2: Convert to fraction form
    243,008.45/364,470.65 = 109,857.74/x
  3. Step 3: Cross multiply
    243,008.45x = 364,470.65 × 109,857.74
  4. Step 4: Simplify right side
    243,008.45x = 40,039,921,356.04
  5. Step 5: Solve for x
    x = 40,039,921,356.04/243,008.45
  6. Step 6: Final answer
    x = 164,767.61

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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.