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Finding the Fourth Proportional to 129,093.90, 193,582.53 and 45,990.06

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Solution

The fourth proportional to 129,093.90, 193,582.53 and 45,990.06 is: 68,964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,093.90 : 193,582.53 = 45,990.06 : x
  2. Step 2: Convert to fraction form
    129,093.90/193,582.53 = 45,990.06/x
  3. Step 3: Cross multiply
    129,093.90x = 193,582.53 × 45,990.06
  4. Step 4: Simplify right side
    129,093.90x = 8,902,872,169.65
  5. Step 5: Solve for x
    x = 8,902,872,169.65/129,093.90
  6. Step 6: Final answer
    x = 68,964.31

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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.