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Finding the Fourth Proportional to 291,705.75, 437,632.43 and 81,343.71

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Solution

The fourth proportional to 291,705.75, 437,632.43 and 81,343.71 is: 122,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,705.75 : 437,632.43 = 81,343.71 : x
  2. Step 2: Convert to fraction form
    291,705.75/437,632.43 = 81,343.71/x
  3. Step 3: Cross multiply
    291,705.75x = 437,632.43 × 81,343.71
  4. Step 4: Simplify right side
    291,705.75x = 35,598,645,065.80
  5. Step 5: Solve for x
    x = 35,598,645,065.80/291,705.75
  6. Step 6: Final answer
    x = 122,036.14

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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.