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Finding the Fourth Proportional to 105,349.65, 157,872.90 and 45,361.66

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Solution

The fourth proportional to 105,349.65, 157,872.90 and 45,361.66 is: 67,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,349.65 : 157,872.90 = 45,361.66 : x
  2. Step 2: Convert to fraction form
    105,349.65/157,872.90 = 45,361.66/x
  3. Step 3: Cross multiply
    105,349.65x = 157,872.90 × 45,361.66
  4. Step 4: Simplify right side
    105,349.65x = 7,161,376,023.65
  5. Step 5: Solve for x
    x = 7,161,376,023.65/105,349.65
  6. Step 6: Final answer
    x = 67,977.22

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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.